X^2-10x-375=0

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Solution for X^2-10x-375=0 equation:



X^2-10X-375=0
a = 1; b = -10; c = -375;
Δ = b2-4ac
Δ = -102-4·1·(-375)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-40}{2*1}=\frac{-30}{2} =-15 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+40}{2*1}=\frac{50}{2} =25 $

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