SOLUTION: I've tried to factor, complete the square and eventually the quadratic formula. I cannot get any of the answers offered. {{{ 2x^2-2x-1=0}}}. The available answers all contain imag

Question 801287: I've tried to factor, complete the square and eventually the quadratic formula. I cannot get any of the answers offered. . The available answers all contain imaginary numbers. (A) 1+i (B)1/2 plus or minus i (C) 2+3i (D) 1/2 plus or minus 1/2i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x^2-2x-1=0.
The available answers all contain imaginary numbers. (A) 1+i (B)1/2 plus or minus i (C) 2+3i (D) 1/2 plus or minus 1/2i
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Formula:
x = [-b+-sqrt(b^2-4ac)]/(2a)
---
Your Problem:
x = [2 +- sqrt(4-4*2*-1)]/(4)
----
x = [2 +- sqrt(12)]/4
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x = [2 +- 2sqrt(3)]/4
----
x = (1/2) +- (1/2)sqrt(3)
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Cheers,
Stan H.
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