x(x-1)=120

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Solution for x(x-1)=120 equation:



x(x-1)=120
We move all terms to the left:
x(x-1)-(120)=0
We multiply parentheses
x^2-1x-120=0
a = 1; b = -1; c = -120;
Δ = b2-4ac
Δ = -12-4·1·(-120)
Δ = 481
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{-(-1)-\sqrt{481}}{2*1}=\frac{1-\sqrt{481}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{481}}{2*1}=\frac{1+\sqrt{481}}{2} $

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