5x^2+x-76=0

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Solution for 5x^2+x-76=0 equation: 



5x^2+x-76=0

a = 5; b = 1; c = -76;
Δ = b2-4ac
Δ = 12-4·5·(-76)
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-39}{2*5}=\frac{-40}{10}
=-4
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+39}{2*5}=\frac{38}{10}
=3+4/5
$

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