SOLUTION: (x+7/2)squared =81/4 Find all real or imaginary solutions

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Question 911844: (x+7/2)squared =81/4
Find all real or imaginary solutions
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+%28x%2B7%2F2%29%5E2+=81%2F4
x%5E2%2B2x%2A%287%2F2%29%2B%287%2F2%29%5E2+=81%2F4
x%5E2%2Bcross%282%29x%2A%287%2Fcross%282%29%29%2B49%2F4+=81%2F4
x%5E2%2B7x%2B49%2F4+=81%2F4

x%5E2%2B7x%2B49%2F4+-81%2F4=0

x%5E2%2B7x+-32%2F4=0

x%5E2%2B7x+-8=0 ............7x+ as -x%2B8x

x%5E2-x%2B8x+-8=0

%28x%5E2-x%29%2B%288x+-8%29=0

x%28x-1%29%2B8%28x+-1%29=0
%28x%2B8%29%28x+-1%29=0
solutions:
x+=-8
x+=1

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B7x+-8%29+