x(3x-3)=136

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Solution for x(3x-3)=136 equation:



x(3x-3)=136
We move all terms to the left:
x(3x-3)-(136)=0
We multiply parentheses
3x^2-3x-136=0
a = 3; b = -3; c = -136;
Δ = b2-4ac
Δ = -32-4·3·(-136)
Δ = 1641
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{1641}}{2*3}=\frac{3-\sqrt{1641}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{1641}}{2*3}=\frac{3+\sqrt{1641}}{6} $

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