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91Ó°ÊÓ

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

In the following exercises , solve by completing the square.

x2-5=10x

Short Answer

Expert verified

The required value ofxis5+30,5-30

Step by step solution

01

Given information

x2-5=10x

02

Given information

x2-5=10x⇒x2-10x=5⇒x2-10x+(12×(-10))2=5⇒x2-10x+25=5+25⇒(x-5)2=30⇒x-5=±30⇒x=5±30=5+30,5-30

The required value ofxis5+30,5-30

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