5x^2+41x-12=0

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Solution for 5x^2+41x-12=0 equation:



5x^2+41x-12=0
a = 5; b = 41; c = -12;
Δ = b2-4ac
Δ = 412-4·5·(-12)
Δ = 1921
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{-(41)-\sqrt{1921}}{2*5}=\frac{-41-\sqrt{1921}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+\sqrt{1921}}{2*5}=\frac{-41+\sqrt{1921}}{10} $

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