4x2-115x+375=0

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Solution for 4x2-115x+375=0 equation:



4x^2-115x+375=0
a = 4; b = -115; c = +375;
Δ = b2-4ac
Δ = -1152-4·4·375
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-115)-85}{2*4}=\frac{30}{8} =3+3/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-115)+85}{2*4}=\frac{200}{8} =25 $

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