36x^2+36x-91=0

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Solution for 36x^2+36x-91=0 equation:



36x^2+36x-91=0
a = 36; b = 36; c = -91;
Δ = b2-4ac
Δ = 362-4·36·(-91)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-120}{2*36}=\frac{-156}{72} =-2+1/6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+120}{2*36}=\frac{84}{72} =1+1/6 $

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