-2x^2+28x-96=0

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Solution for -2x^2+28x-96=0 equation:



-2x^2+28x-96=0
a = -2; b = 28; c = -96;
Δ = b2-4ac
Δ = 282-4·(-2)·(-96)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-4}{2*-2}=\frac{-32}{-4} =+8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+4}{2*-2}=\frac{-24}{-4} =+6 $

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