x2+66x-4356=0

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Solution for x2+66x-4356=0 equation:



x2+66x-4356=0
We add all the numbers together, and all the variables
x^2+66x-4356=0
a = 1; b = 66; c = -4356;
Δ = b2-4ac
Δ = 662-4·1·(-4356)
Δ = 21780
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:
$\sqrt{\Delta}=\sqrt{21780}=\sqrt{4356*5}=\sqrt{4356}*\sqrt{5}=66\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(66)-66\sqrt{5}}{2*1}=\frac{-66-66\sqrt{5}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+66\sqrt{5}}{2*1}=\frac{-66+66\sqrt{5}}{2} $

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