X^2-2x-20x=0

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Solution for X^2-2x-20x=0 equation:



X^2-2X-20X=0
We add all the numbers together, and all the variables
X^2-22X=0
a = 1; b = -22; c = 0;
Δ = b2-4ac
Δ = -222-4·1·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-22}{2*1}=\frac{0}{2} =0 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+22}{2*1}=\frac{44}{2} =22 $

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