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Chapter 9: Q. 87E (page 885)


In the following exercises, solve the completing squares-

u2-14u+12=1

Short Answer

Expert verified

The solution is38+7,-38+7

Step by step solution

01

Step 1. Given information

The equation:u2-14u+12=1

02

Step 2. Calculation

Solving the equation,

u2-14u+12=1

鈬�u2-14u=-11

鈬�u2-14u+12脳-142=-11+12脳(-14)2

鈬�u2-14u+49=38

鈬�u2-7u-7u+49=38

鈬�u(u-7)-7(u-7)=38

role="math" localid="1645273024904" 鈬�(u-7)2=38鈬�u-7=卤38

鈬�u=卤38+7

The required value of u,

38+7,-38+7

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