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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.$$x^{2}+5 x+10=0$$

$$\frac{-5 \pm \sqrt{15 i}}{2}$$

Algebra

Chapter 0

Reviewing the Basics

Section 4

The Quadratic Formula and Applications

Equations and Inequalities

McMaster University

Harvey Mudd College

Baylor University

Lectures

01:18

In each of the following, …

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01:13

01:16

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00:59

01:05

01:49

01:09

02:12

Solve each of the quadrati…

02:36

01:23

01:45

Solve each equation using …

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01:46

02:01

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First we identify the confessions of this function A equals one b equals five, and c equals 10. Next we substitute A. B. C. With their values into the formula. The denominator is too, the numerator is -5 Plus miners, the square root of five squared minus four times one times 10, Which is -5 Plus Minors Square Road on minors. 15 over to here we need to use I, which is the unit of the imaginary number And I Echoes The Square Root of -1. So the first solution is minus five Miners. The square root of 15 I over to. And the second solution us minus five plus The square root out 15 I over to.

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