SOLUTION: Hello, I need to solve {{{x^2 - 6x + 13}}} using the quadratic formula.

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Question 210648This question is from textbook blitzer
: Hello, I need to solve x%5E2+-+6x+%2B+13 using the quadratic formula.
This question is from textbook blitzer

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
x%5E2-6x%2B13+=+0?
Using the quadratic formula: x+=+%28-b%2B-sqrt%28b%5E-4ac%29%29%2F2a and, in this problem: a = 1, b = -6, and c = 13.
x+=+%28-%28-6%29%2B-sqrt%28%28-6%29%5E2-4%281%29%2813%29%29%29%2F2%281%29 Evaluate:
x+=+%286%2B-sqrt%2836-52%29%29%2F2
x+=+%286%2B-sqrt%28-16%29%29%2F2
x+=+6%2F2%2Bsqrt%28-16%29%2F2 or x+=+6%2F2-sqrt%28-16%29%2F2 and these can be simplified to:
x+=+3%2B%284%2F2%29sqrt%28-1%29 or x+=+3-%284%2F2%29sqrt%28-1%29
highlight%28x+=+3%2B2i%29 or highlight%28x+=+3-2i%29