SOLUTION: (-1- square root 7i) and (-1+square root 7i) [x+1 square root 7i][x+1- square root 7i] need help going the rest of the way

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: (-1- square root 7i) and (-1+square root 7i) [x+1 square root 7i][x+1- square root 7i] need help going the rest of the way      Log On


   

Question 413056: (-1- square root 7i) and (-1+square root 7i)
[x+1 square root 7i][x+1- square root 7i] need help going the rest of the way
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+%2B+%281+%2B+sqrt%287%29%2Ai%29%29%2A%28x+%2B+%281+-+sqrt%287%29%2Ai%29%29

x%5E2+%2B+2x+%2B+8
I'll check this using quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2A8+%29%29%2F%282%2A1%29+
x+=+%28-2+%2B-+sqrt%28+4+-+32+%29%29+%2F+2+
x+=+%28-2+%2B-+sqrt%28-28%29%29+%2F+2+
x+=+%28-2+%2B-+2%2Asqrt%287%29%2Ai%29+%2F+2+
x+=+-1+%2B+sqrt%287%29%2Ai+
and
x+=+-1+-+sqrt%287%29%2Ai+
OK