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Chapter 10: Q 226 (page 1235)

Solve quadratic equation using the square root property: q+42=9

Short Answer

Expert verified

The required result isq=-1,-7

Step by step solution

01

Given information  . 

The given expression isq+42=9

02

 Use binomial square .a+b2=a2+b2+2ab

q+42=9q2+8q+16=9q2+8q+16-9=0q2+8q+7=0

Splitting the middle term

role="math" localid="1648921607297" q2+q+7q+7=0qq+1+7q+1=0(q+7)q+1=0q=-7,-1

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