X^2+900-100x=0

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Solution for X^2+900-100x=0 equation:



X^2+900-100X=0
a = 1; b = -100; c = +900;
Δ = b2-4ac
Δ = -1002-4·1·900
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-80}{2*1}=\frac{20}{2} =10 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+80}{2*1}=\frac{180}{2} =90 $

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