SOLUTION: Solve by any method: 8x^2= -22x+6

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Question 899481: Solve by any method:
8x^2= -22x+6
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Nothing stands in the way.
Divide sides by 2.
4x%5E2=-11x%2B3
4x%5E2%2B11x-3=0
discriminant, 121%2B4%2A4%2A3=121-48=73
x=%28-11%2B-+sqrt%2873%29%29%2F%282%2A4%29
highlight%28x=%28-11%2B-+sqrt%2873%29%29%2F8%29.

Just use general solution to a quadratic equation. As shown, that done.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by any method:
8x^2= -22x+6


8x%5E2+=+-+22x+%2B+6

8x%5E2+%2B+22x+-+6+=+0

2%284x%5E2+%2B+11x+-+3%29+=+2%280%29

4x%5E2+%2B+11x+-+3+=+0

4x%5E2+%2B+12x+-+x+-+3+=+0 ------ Replacing "+11x" with "+12x - x"

4x%28x+%2B+3%29+-+1%28x+%2B+3%29+=+0

4x+-+1%29%28x+%2B+3%29+=+0

4x - 1 = 0            OR          x + 3 = 0

    4x = 1            OR              x = 0 - 3

     x = highlight_green%281%2F4%29          OR              highlight_green%28x+=+-+3%29

You can do the check!! 



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