SOLUTION: What is the solution of the quadratic equation by using the quadratic formula?(x+1)^2=2(3x-5)

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Question 895374: What is the solution of the quadratic equation by using the quadratic formula?(x+1)^2=2(3x-5)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify your given equation, and put into general form.

x%5E2%2B2x%2B1=6x-10
x%5E2-4x%2B11=0

Use this for computational or calculational convenience.

D=%28-4%29%5E2-4%2A1%2A11=16-44=-28, the discriminant, which is negative.
x=%284%2B-+sqrt%28D%29%29%2F2
x=%284%2B-+sqrt%28-4%2A7%29%29%2F2
x=%284%2B-+2i%2Asqrt%287%29%29%2F2
highlight%28x=2%2B-+i%2Asqrt%287%29%29