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Without solving each equation, find the sum and product of the roots.$\frac{3 x^{2}+3 x+5}{3}=0$

$\operatorname{sum}=-1$$\operatorname{prod} u c t=\frac{5}{3}$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 7

Sum and Product of the Roots of a Quadratic Equation

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

Campbell University

Oregon State University

Baylor University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

01:00

Without solving each equat…

00:56

00:31

00:57

01:41

Solve each equation by fac…

01:23

Discuss the possibilities …

02:39

Find the roots of each pol…

00:46

01:35

00:53

01:15

Find the real solutions, i…

01:24

Solve each equation using …

00:39

00:50

01:33

Use the quadratic formula …

01:18

01:29

Solve the equation by usin…

Solve each equation by usi…

02:34

Find the real solutions of…

very first problem where everything is over three. But it doesn't have to be if you multiply the entire equation by three. See this 3/3 being a one. So this quadratic equation that three goes away can be written as three X squared plus three X plus five. Yes, it's still equal to zero because three times zero is zero. And so I just immediately got rid of that fraction cause I didn't want to deal with it. And we are allowed to do that. And so are a values three R B values three and R C values five. We're gonna plug leads in knowing that are some is equal to negative. Be over a That's gonna be a negative three is or be value in three Azari value negative. 3/3 is the same as negative one. All right, our products is gonna be equal to see over a. We know our C is five are a is three and there's nothing that can be reduced there. Let me highlight in green that our product is equal to 5/3 and are some is equal to negative one

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