x^2+46x-360=0

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Solution for x^2+46x-360=0 equation:



x^2+46x-360=0
a = 1; b = 46; c = -360;
Δ = b2-4ac
Δ = 462-4·1·(-360)
Δ = 3556
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:
$\sqrt{\Delta}=\sqrt{3556}=\sqrt{4*889}=\sqrt{4}*\sqrt{889}=2\sqrt{889}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(46)-2\sqrt{889}}{2*1}=\frac{-46-2\sqrt{889}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(46)+2\sqrt{889}}{2*1}=\frac{-46+2\sqrt{889}}{2} $

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