7x2-36x-36=0

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Solution for 7x2-36x-36=0 equation:



7x^2-36x-36=0
a = 7; b = -36; c = -36;
Δ = b2-4ac
Δ = -362-4·7·(-36)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-48}{2*7}=\frac{-12}{14} =-6/7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+48}{2*7}=\frac{84}{14} =6 $

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