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Chapter 9: Q. 97 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+2)(x+4)=3

Short Answer

Expert verified

The required value ofxis-5,-1

Step by step solution

01

Given information

(x+2)(x+4)=3

02

Calculation

(x+2)(x+4)=3鈬�x(x+4)+2(x+4)=3鈬�x2+4x+2x+8=3鈬�x2+6x=3-8鈬�x2+6x=-5鈬�x2+6x+(12脳6)2=-5 鈬�x2+6x+9=-5+9鈬�(x+3)2=4 鈬�x+3=卤4=卤2鈬�x=-3卤2=-3-2,-3+2=-5,-1

The required value of xis-5,-1

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