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Chapter 9: Q38. (page 595)

Solve the equation by using the Quadratic formula. Round to the nearest tenth if necessary.

x2鈭�8x=20

Short Answer

Expert verified

Thesolutions of the quadratic equations are 10 and-2.

Step by step solution

01

Step 1. Understand the concept used.

If ax2+bx+c=0, with a鈮�0, then x=鈭�b卤b2鈭�4ac2a. Solving using factoring can be done by splitting the middle term of the equation and then making groups and equating them to zero.

02

Step 2. Substitute the values. 

It is given that x2鈭�8x=20.Using the quadratic formula x=鈭�b卤b2鈭�4ac2a, substitute 1 for a,-8 for b and -20for c.

Put the values in the formula and get x=鈭�鈭�8卤鈭�82鈭�4脳1脳鈭�2021.

03

Step 3. Write the solutions.

Simplify the expression for x.

x=鈭�鈭�8卤鈭�82鈭�4脳1脳鈭�2021

=8卤64+802=8卤1442=8卤122

Therefore, either

x=8+122

=202=10

or,

x=8鈭�122

=鈭�42=鈭�2

that is., eitherx=10 or x=鈭�2.

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