SOLUTION: 3(x^2-3) = 35x + 19 please use the quadratic formula thankssss

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Question 576831: 3(x^2-3) = 35x + 19
please use the quadratic formula thankssss

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3(x^2-3) = 35x + 19
put the equation in the standard form: ax^2 + bx^2 + c = 0
3x^2 - 9 - 35x - 19 = 0
3x^2 - 35x - 28 = 0
:
the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
:
a=3, b = -35; c = -28
x+=+%28-%28-35%29+%2B-+sqrt%28-35%5E2-4%2A3%2A-28+%29%29%2F%282%2A3%29+
:
x+=+%2835+%2B-+sqrt%281225-%28-336%29+%29%29%2F6+
:
x+=+%2835+%2B-+sqrt%281561+%29%29%2F6+
Two solutions
x+=+%2835+%2B+39.51%29%2F6+
x = 74.51%2F6
x = 12.42
and
x+=+%2835+-+39.51%29%2F6+
x = -4.51%2F6
x = -.75
:
:
You can confirm this by replacing x in the original equation with these values