-2x2+200=88

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Solution for -2x2+200=88 equation:



-2x^2+200=88
We move all terms to the left:
-2x^2+200-(88)=0
We add all the numbers together, and all the variables
-2x^2+112=0
a = -2; b = 0; c = +112;
Δ = b2-4ac
Δ = 02-4·(-2)·112
Δ = 896
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:
$\sqrt{\Delta}=\sqrt{896}=\sqrt{64*14}=\sqrt{64}*\sqrt{14}=8\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{14}}{2*-2}=\frac{0-8\sqrt{14}}{-4} =-\frac{8\sqrt{14}}{-4} =-\frac{2\sqrt{14}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{14}}{2*-2}=\frac{0+8\sqrt{14}}{-4} =\frac{8\sqrt{14}}{-4} =\frac{2\sqrt{14}}{-1} $

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