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Chapter 9: Q. 95 E (page 885)

Solve quadratic equations of the form x2+bx+c=0by completing the square.

In the following exercises , solve by completing the square.

(x+6)(x-2)=9

Short Answer

Expert verified

The required value ofxis3,-7

Step by step solution

01

Given information

(x+6)(x-2)=9

02

Calculation

(x+6)(x-2)=9鈬�x(x-2)+6(x-2)=9鈬�x2-2x+6x-12=9鈬�x2+4x-12=9鈬�x2+4x=9+12鈬�x2+4x=21鈬�x2+4x+(12脳4)2=21 鈬�x2+4x+4=21+4鈬�(x+2)2=25 鈬�x+2=卤25=卤5鈬�x=-2卤5=-2+5,-2-5=3,-7

The required value ofxis3,-7

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