x2-28x-86=0

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Solution for x2-28x-86=0 equation:



x2-28x-86=0
We add all the numbers together, and all the variables
x^2-28x-86=0
a = 1; b = -28; c = -86;
Δ = b2-4ac
Δ = -282-4·1·(-86)
Δ = 1128
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:
$\sqrt{\Delta}=\sqrt{1128}=\sqrt{4*282}=\sqrt{4}*\sqrt{282}=2\sqrt{282}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-2\sqrt{282}}{2*1}=\frac{28-2\sqrt{282}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+2\sqrt{282}}{2*1}=\frac{28+2\sqrt{282}}{2} $

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