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Intermediate Algebra

Lynn Marecek

Chapter 9

Quadratic Equations and Functions - all with Video Answers

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Section 1

Solve Quadratic Equations Using the Square Root Property

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Problem 1

Solve each equation.
$$a^{2}=49$$

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Problem 2

Solve each equation.
$$b^{2}=144$$

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Problem 3

Solve each equation.
$$r^{2}-24=0$$

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Problem 4

Solve each equation.
$$t^{2}-75=0$$

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Problem 5

Solve each equation.
$$u^{2}-300=0$$

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Problem 6

Solve each equation.
$$v^{2}-80=0$$

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Problem 7

Solve each equation.
$$4 m^{2}=36$$

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Problem 8

Solve each equation.
$$3 n^{2}=48$$

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Problem 9

Solve each equation.
$$\frac{4}{3} x^{2}=48$$

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Problem 10

Solve each equation.
$$\frac{5}{3} y^{2}=60$$

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Problem 11

Solve each equation.
$$x^{2}+25=0$$

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Problem 12

Solve each equation.
$$y^{2}+64=0$$

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Problem 13

Solve each equation.
$$x^{2}+63=0$$

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Problem 14

Solve each equation.
$$y^{2}+45=0$$

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Problem 15

Solve each equation.
$$\frac{4}{3} x^{2}+2=110$$

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Problem 16

Solve each equation.
$$\frac{2}{3} y^{2}-8=-2$$

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Problem 17

Solve each equation.
$$\frac{2}{5} a^{2}+3=11$$

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Problem 18

Solve each equation.
$$\frac{3}{2} b^{2}-7=41$$

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Problem 19

Solve each equation.
$$7 p^{2}+10=26$$

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Problem 20

Solve each equation.
$$2 q^{2}+5=30$$

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Problem 21

Solve each equation.
$$5 y^{2}-7=25$$

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Problem 22

Solve each equation.
$$3 x^{2}-8=46$$

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Problem 23

Solve each equation.
$$(u-6)^{2}=64$$

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Problem 24

Solve each equation.
$$(v+10)^{2}=121$$

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Problem 25

Solve each equation.
$$(m-6)^{2}=20$$

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Problem 26

Solve each equation.
$$(n+5)^{2}=32$$

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Problem 27

Solve each equation.
$$\left(r-\frac{1}{2}\right)^{2}=\frac{3}{4}$$

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Problem 28

Solve each equation.
$$\left(x+\frac{1}{5}\right)^{2}=\frac{7}{25}$$

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Problem 29

Solve each equation.
$$\left(y+\frac{2}{3}\right)^{2}=\frac{8}{81}$$

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Problem 30

Solve each equation.
$$\left(t-\frac{5}{6}\right)^{2}=\frac{11}{25}$$

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Problem 31

Solve each equation.
$$(a-7)^{2}+5=55$$

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Problem 32

Solve each equation.
$$(b-1)^{2}-9=39$$

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Problem 33

Solve each equation.
$$4(x+3)^{2}-5=27$$

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Problem 34

Solve each equation.
$$5(x+3)^{2}-7=68$$

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Problem 35

Solve each equation.
$$(5 c+1)^{2}=-27$$

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Problem 36

Solve each equation.
$$(8 d-6)^{2}=-24$$

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Problem 37

Solve each equation.
$$(4 x-3)^{2}+11=-17$$

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Problem 38

Solve each equation.
$$(2 y+1)^{2}-5=-23$$

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Problem 39

Solve each equation.
$$m^{2}-4 m+4=8$$

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Problem 40

Solve each equation.
$$n^{2}+8 n+16=27$$

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Problem 41

Solve each equation.
$$x^{2}-6 x+9=12$$

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Problem 42

Solve each equation.
$$y^{2}+12 y+36=32$$

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Problem 43

Solve each equation.
$$25 x^{2}-30 x+9=36$$

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Problem 44

Solve each equation.
$$9 y^{2}+12 y+4=9$$

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Problem 45

Solve each equation.
$$36 x^{2}-24 x+4=81$$

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Problem 46

Solve each equation.
$$64 x^{2}+144 x+81=25$$

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00:42

Problem 47

Solve using the Square Root Property.
$$2 r^{2}=32$$

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00:44

Problem 48

Solve using the Square Root Property.
$$4 t^{2}=16$$

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01:06

Problem 49

Solve using the Square Root Property.
$$(a-4)^{2}=28$$

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00:59

Problem 50

Solve using the Square Root Property.
$$(b+7)^{2}=8$$

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01:41

Problem 51

Solve using the Square Root Property.
$$9 w^{2}-24 w+16=1$$

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01:37

Problem 52

Solve using the Square Root Property.
$$4 z^{2}+4 z+1=49$$

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00:48

Problem 53

Solve using the Square Root Property.
$$a^{2}-18=0$$

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01:10

Problem 54

Solve using the Square Root Property.
$$b^{2}-108=0$$

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01:04

Problem 55

Solve using the Square Root Property.
$$\left(p-\frac{1}{3}\right)^{2}=\frac{7}{9}$$

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00:50

Problem 56

Solve using the Square Root Property.
$$\left(q-\frac{3}{5}\right)^{2}=\frac{3}{4}$$

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00:38

Problem 57

Solve using the Square Root Property.
$$m^{2}+12=0$$

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00:45

Problem 58

Solve using the Square Root Property.
$$n^{2}+48=0$$

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01:17

Problem 59

Solve using the Square Root Property.
$$u^{2}-14 u+49=72$$

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01:11

Problem 60

Solve using the Square Root Property.
$$v^{2}+18 v+81=50$$

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01:27

Problem 61

Solve using the Square Root Property.
$$(m-4)^{2}+3=15$$

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01:02

Problem 62

Solve using the Square Root Property.
$$(n-7)^{2}-8=64$$

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01:04

Problem 63

Solve using the Square Root Property.
$$(x+5)^{2}=4$$

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00:57

Problem 64

Solve using the Square Root Property.
$$(y-4)^{2}=64$$

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01:15

Problem 65

Solve using the Square Root Property.
$$6 c^{2}+4=29$$

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01:03

Problem 66

Solve using the Square Root Property.
$$2 d^{2}-4=77$$

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00:46

Problem 67

Solve using the Square Root Property.
$$(x-6)^{2}+7=3$$

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00:42

Problem 68

Solve using the Square Root Property.
$$(y-4)^{2}+10=9$$

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00:43

Problem 69

In your own words, explain the Square Root Property.

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01:29

Problem 70

In your own words, explain how to use the Square Root Property to solve the quadratic equation $(x+2)^{2}=16$.

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