9x2+12x=4

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Solution for 9x2+12x=4 equation:



9x^2+12x=4
We move all terms to the left:
9x^2+12x-(4)=0
a = 9; b = 12; c = -4;
Δ = b2-4ac
Δ = 122-4·9·(-4)
Δ = 288
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{288}=\sqrt{144*2}=\sqrt{144}*\sqrt{2}=12\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12\sqrt{2}}{2*9}=\frac{-12-12\sqrt{2}}{18} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12\sqrt{2}}{2*9}=\frac{-12+12\sqrt{2}}{18} $

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