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Chapter 11: Q. 9.30 (page 1069)

Solve by completing the square :

b2+8b-4=16

Short Answer

Expert verified

The required value ofxis2,-10

Step by step solution

01

Given information

b2+8b-4=16

02

Calculation

b2+8b-4=16⇒b2+8b=16+4⇒b2+8b+(12×8)2=20+16⇒b2+8b+16=20+16⇒(b+4)2=36⇒b+4=±36=±6⇒b=-4±6=-4+6,-4-6=2,-10

The required value of xis -10,2

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