   # In Exercises 19 to 26, solve each equation by using the Quadratic Formula. Give exact solutions in simplified form. When answers contain square roots, approximate the solutions rounded to two decimal places. x 2 − 6 x − 2 = 0 ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
Publisher: Cengage Learning
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
Publisher: Cengage Learning
ISBN: 9781285195698
Chapter A.5, Problem 24E
Textbook Problem
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## In Exercises 19 to 26, solve each equation by using the Quadratic Formula. Give exact solutions in simplified form. When answers contain square roots, approximate the solutions rounded to two decimal places. x 2 − 6 x − 2 = 0

To determine

To find:

To solve each equation by using the Quadratic Formula

### Explanation of Solution

Consider the following equation,

x26x2=0.

The general form of the quadratic equation is given below,

ax2+bx+c=0

Where a is the number multiplied by x2, b is the number multiplied by x, and c is the constant term.

The solution for ax2+bx+c=0 when a0 is given below,

x=b±b24ac2a...(1)

Compare the given equation with general equation to get the following,

ax2+bx+c=0x26x2=0

Therefore,

a=1,b=6 and c=2. Since a0.

Substitute these values in equation (1) to get the following,

x=b±b24ac2ax=(6)±(6)24(1)(2)

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