SOLUTION: Find all the zeroes, real and/or complex, for f(x)=2x^2+10x-3.

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Question 674269: Find all the zeroes, real and/or complex, for f(x)=2x^2+10x-3.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 2x%5E2+%2B+10x+-+3
2x%5E2+%2B+10x+-+3+=+0
...
Divide the entire equation by 2
x%5E2+%2B+%2810%2F2%29x+-+3%2F2+=+0
x%5E2+%2B+5x+-+3%2F2+=+0
...
x%5E2+%2B+5x+%2B+6.25+=+3%2F2+%2B+6.25
(x+2.5)(x+2.5) = 7.75
%28x%2B2.5%29%5E2+=+7.75
...
sqrt%28x%2B2.5%29%5E2 = +/- sqrt%287.75%29
x+2.5 = +/- sqrt%287.75%29
x = -2.5 +/- sqrt%287.75%29
...
x = -2.5 + sqrt%287.75%29
x = -2.5 + 2.78
highlight_green%28x+=+.28%29
x = -2.5 - sqrt%287.75%29
x = -2.5 - 2.78
highlight_green%28x+=+-5.25%29
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B10x-3%29
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