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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.$$(2 x-3)(3 x+5)=-20$$

$$\frac{-1 \pm \sqrt{119} i}{12}$$

Algebra

Chapter 0

Reviewing the Basics

Section 4

The Quadratic Formula and Applications

Equations and Inequalities

Campbell University

Harvey Mudd College

Baylor University

Idaho State University

Lectures

01:23

In each of the following, …

04:04

Solve each of the quadrati…

01:49

01:18

02:00

01:07

01:05

01:09

01:30

00:59

01:13

01:28

01:16

02:02

Solve each equation using …

01:11

01:03

first we multiply these two factors out which gives us six x squared 10 x minus nine x minus 15. He calls minus 20. Then we combine the similar terms and Air 20 to both sides of this equation. So it becomes six X squared plus eggs plus five equals zero. Then we can identify the coefficients A equal six because one and C equals five. Next we just substitute A D and C. With their values into this formula. So the denominator is two times six. Numerator is minus one plus. And miners a square root of one squared minus four times six times for which gives us minus one plus some miners the square road how miners were 119 over 12. Here we need to use I which is the unit of the imaginary number and I echoes the square root of minus one enhance. The first solution is minus one, miners. The square root out 119. I over trout in the second solutions minus one plus the square root out 190 I over 12.

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03:14

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01:57

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