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Chapter 9: Q. 77E (page 885)

In the following exercise, solve by completing the square.

x2-20x=21

Short Answer

Expert verified

The required solution isx=21.

Step by step solution

01

Step 1. Given Information

We are given the quadratic equation

x2-20x=21

02

Step 2. Calculation

x2-20x=21

鈬�x2-20x+(202)2=21+(202)2 take half of 20, square it and add it to both sides

鈬�x2-20x+100=21+100

鈬�x2-20x+100=121 simplify

鈬�(x-10)2=112 write it as binomial squared

鈬�x-10=11 take square root on each side

鈬�x=21 simplify

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