2X^2-23.6x-56.8=0=0

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Solution for 2X^2-23.6x-56.8=0=0 equation: 



2X^2-23.6X-56.8=0=0

a = 2; b = -23.6; c = -56.8;
Δ = b2-4ac
Δ = -23.62-4·2·(-56.8)
Δ = 1011.36
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{-(-23.6)-\sqrt{1011.36}}{2*2}=\frac{23.6-\sqrt{1011.36}}{4}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23.6)+\sqrt{1011.36}}{2*2}=\frac{23.6+\sqrt{1011.36}}{4}
$

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