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In each of the following, solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth.$$(x+3)(x+2)=-10$$

$$\frac{-5 \pm \sqrt{39} i}{2}$$

Algebra

Chapter 0

Reviewing the Basics

Section 4

The Quadratic Formula and Applications

Equations and Inequalities

Campbell University

McMaster University

Baylor University

Idaho State University

Lectures

01:11

In each of the following, …

01:13

01:18

01:07

01:03

02:42

Solve each of the quadrati…

01:30

01:05

01:45

01:16

00:53

01:23

02:03

Solve each equation using …

01:19

00:59

01:01

02:01

02:06

first we married by these two factors out which gives us ax squared plus two X plus three X plus six equals minor steps. Then we combine the similar terms and at 10 to both sides of this equation, which gives x square plus five X plus 16 because zero. Then we can identify the coefficients, eight equals one, B equals five and c equals 16. Next we substitute A B and C with their values into this formula, denominator is to the numerator is minus five plus um, miners the square root of five squared minus four times a long time, 16 metric als minus five plus some miners. The square root of miners 39 virtue know that here we need to use I which is the unit of the imaginary number and I just echoes the square root of minus one enhance the two solutions are minus five miners. The square root of 39 I over two. And the second solution is minus five plus square road 39 I over to

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