-4x^2-40x+12=0

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Solution for -4x^2-40x+12=0 equation:



-4x^2-40x+12=0
a = -4; b = -40; c = +12;
Δ = b2-4ac
Δ = -402-4·(-4)·12
Δ = 1792
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:
$\sqrt{\Delta}=\sqrt{1792}=\sqrt{256*7}=\sqrt{256}*\sqrt{7}=16\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-16\sqrt{7}}{2*-4}=\frac{40-16\sqrt{7}}{-8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+16\sqrt{7}}{2*-4}=\frac{40+16\sqrt{7}}{-8} $

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