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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.$$x^{2}+6 x+21=0$$

$$-3 \pm 2 \sqrt{3} i$$

Algebra

Chapter 0

Reviewing the Basics

Section 4

The Quadratic Formula and Applications

Equations and Inequalities

Oregon State University

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:15

In each of the following, …

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01:01

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01:00

02:04

Solve each of the quadrati…

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00:53

00:59

03:06

02:25

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03:00

01:50

Solve each equation using …

first we can identify the confessions of this, functioning as A Echoes one B Echo six And say he calls 21. Next we substitute A. B and C. With their values. Into this formula, The denominator is to the numerator is -6 miners. The square root of six squared minus four times one times 21 And it equals -2 plus miners. The Square Root of -48 or two. Medicals minus three plus minus two Times The Square Root of -3. Here we need to use art, which is the unit of the imaginary number And I Echoes The Square Root of -1. So the first solution is -3 minus two times the square root house Ray are and the second solution is minus three plus two times square root out three are.

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