X^2-22x-198X=0

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Solution for X^2-22x-198X=0 equation:



X^2-22X-198X=0
We add all the numbers together, and all the variables
X^2-220X=0
a = 1; b = -220; c = 0;
Δ = b2-4ac
Δ = -2202-4·1·0
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-220)-220}{2*1}=\frac{0}{2} =0 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-220)+220}{2*1}=\frac{440}{2} =220 $

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