100x^2+60x-19=0

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Solution for 100x^2+60x-19=0 equation:



100x^2+60x-19=0
a = 100; b = 60; c = -19;
Δ = b2-4ac
Δ = 602-4·100·(-19)
Δ = 11200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{11200}=\sqrt{1600*7}=\sqrt{1600}*\sqrt{7}=40\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-40\sqrt{7}}{2*100}=\frac{-60-40\sqrt{7}}{200} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+40\sqrt{7}}{2*100}=\frac{-60+40\sqrt{7}}{200} $

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