4x2+60x-1080=0

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Solution for 4x2+60x-1080=0 equation:



4x^2+60x-1080=0
a = 4; b = 60; c = -1080;
Δ = b2-4ac
Δ = 602-4·4·(-1080)
Δ = 20880
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:
$\sqrt{\Delta}=\sqrt{20880}=\sqrt{144*145}=\sqrt{144}*\sqrt{145}=12\sqrt{145}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-12\sqrt{145}}{2*4}=\frac{-60-12\sqrt{145}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+12\sqrt{145}}{2*4}=\frac{-60+12\sqrt{145}}{8} $

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