-10x^2+0,1x=0

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Solution for -10x^2+0,1x=0 equation:



-10x^2+0.1x=0
a = -10; b = 0.1; c = 0;
Δ = b2-4ac
Δ = 0.12-4·(-10)·0
Δ = 0.01
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.1)-\sqrt{0.01}}{2*-10}=\frac{-0.1-\sqrt{0.01}}{-20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.1)+\sqrt{0.01}}{2*-10}=\frac{-0.1+\sqrt{0.01}}{-20} $

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