x^2+60x-188=0

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Solution for x^2+60x-188=0 equation:



x^2+60x-188=0
a = 1; b = 60; c = -188;
Δ = b2-4ac
Δ = 602-4·1·(-188)
Δ = 4352
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:
$\sqrt{\Delta}=\sqrt{4352}=\sqrt{256*17}=\sqrt{256}*\sqrt{17}=16\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-16\sqrt{17}}{2*1}=\frac{-60-16\sqrt{17}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+16\sqrt{17}}{2*1}=\frac{-60+16\sqrt{17}}{2} $

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