SOLUTION: solve for x using the quadratic formula {{{3x^2=5x+6}}} Please explain the steps for me...thanx a bunch

Question 91593: solve for x using the quadratic formula
Please explain the steps for me...thanx a bunch
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve for x using the quadratic formula 3x^2 = 5x + 6
:
Put the equation in the ax^2 + bx + 3 = 0 form
3x^2 - 5x - 6 = 0; subtracted 5x and 6 from both sides
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The quadratic formula:

:
In your equation: a = 3; b = -5; c = -6, substitute in the formula:

:
; minus a minus is a plus
:

:
1st solution:
; found the square root of 97

x = +2.475
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2nd solution

x = -.808
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Did you understand each step here?
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It's a good idea to substitute at least one of the solutions in the original equation. Try x = 2.475
3x^2 = 5x + 6
3(2.475^2) = 5(2.475) + 6
3(6.126) = 12.375 + 6
18.378 = 18.375; close enough to confirm out solution
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You can check the -.808 solution the same way
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If you have any questions, you can email me until 9 PM, central
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