x^2-8x-7.5=0

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Solution for x^2-8x-7.5=0 equation: 



x^2-8x-7.5=0

a = 1; b = -8; c = -7.5;
Δ = b2-4ac
Δ = -82-4·1·(-7.5)
Δ = 94
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{-(-8)-\sqrt{94}}{2*1}=\frac{8-\sqrt{94}}{2}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+\sqrt{94}}{2*1}=\frac{8+\sqrt{94}}{2}
$

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