SOLUTION: sqrt(2x-1)=x-2i am supposed to solve for x

Algebra ->  Absolute-value -> SOLUTION: sqrt(2x-1)=x-2i am supposed to solve for x      Log On


   



Question 22023: sqrt(2x-1)=x-2i am supposed to solve for x
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(2x-1)=x-2i SQUARING BOTH SIDES,WE GET
2X-1=X^+4I^2-4IX
X^2-X(2+4I)-3=0
USING QUADRATIC FORMULA
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28%282%2B4I%29+%2B-+sqrt%28+%282%2B4I%29%5E2%2B4%2A1%2A3+%29%29%2F%282%2A1%29+
x+=+%28%282%2B4I%29+%2B-+sqrt%28+4-16%2B16I%2B12+%29%29%2F%282%29+
x+=+%28%282%2B4I%29+%2B-+sqrt%2816I%29%29%2F%282%29+
x+=+%28%281%2B2I%29+%2B-+sqrt%282I%29+%29