SOLUTION: please solve the provided quadratic equation by using the square root property. show check {{{(x-3/2)^2+7/4=0}}}

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: please solve the provided quadratic equation by using the square root property. show check {{{(x-3/2)^2+7/4=0}}}      Log On

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Question 331600: please solve the provided quadratic equation by using the square root property. show check
%28x-3%2F2%29%5E2%2B7%2F4=0
Answer by ankor@dixie-net.com(15652) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-3%2F2%29%5E2%2B7%2F4=0
Subtract 7/4 from both sides
%28x-3%2F2%29%5E2 = -7%2F4
Find square root of both sides
x-3%2F2 = sqrt%28-7%2F4%29
:
x-3%2F2 = +/-%281%2F2%29i%2Asqrt%287%29
:
x = 3%2F2 +/- %281%2F2%29i%2Asqrt%287%29
Two solutions
x = %28%283%2Bsqrt%287%29i%29%29%2F2
and
x = %28%283-sqrt%287%29i%29%29%2F2
:
:
Check:
x = 3%2F2 +/-sqrt%287%29%2F2i
x - 3%2F2 = +/-sqrt%287%29%2F2i
Square both sides
%28x-3%2F2%29%5E2 = 7%2F4i^2
%28x-3%2F2%29%5E2 = 7%2F4(-1)
%28x-3%2F2%29%5E2 = -7%2F4
%28x-3%2F2%29%5E2 + 7%2F4 = 0