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91Ó°ÊÓ

Solve by completing the square :

a2+4a+9=30

Short Answer

Expert verified

The required value ofxis3,-7

Step by step solution

01

Given information

a2+4a+9=30

02

Calculation

a2+4a+9=30⇒a2+4a=30-9⇒a2+4a=21⇒a2+4a+(12×4)2=21 ⇒a2+4a+4=21+4⇒(a+2)2=25 ⇒a+2=±25⇒a=-2±5=-2+5,-2-5=3,-7

The required value ofxis3,-7

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