X^2+6x-1599=0

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Solution for X^2+6x-1599=0 equation:



X^2+6X-1599=0
a = 1; b = 6; c = -1599;
Δ = b2-4ac
Δ = 62-4·1·(-1599)
Δ = 6432
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:
$\sqrt{\Delta}=\sqrt{6432}=\sqrt{16*402}=\sqrt{16}*\sqrt{402}=4\sqrt{402}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-4\sqrt{402}}{2*1}=\frac{-6-4\sqrt{402}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+4\sqrt{402}}{2*1}=\frac{-6+4\sqrt{402}}{2} $

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