x^2/0.01-x=0

Solution for x^2/0.01-x=0 equation:

x^2/0.01-x=0

We add all the numbers together, and all the variables

x^2/0.01-1x=0

We multiply all the terms by the denominator


x^2-1x*0.01=0

Wy multiply elements

x^2-0.01x=0

a = 1; b = -0.01; c = 0;
Δ = b2-4ac
Δ = -0.012-4·1·0
Δ = 0.0001
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{-(-0.01)-\sqrt{0.0001}}{2*1}=\frac{0.01-\sqrt{0.0001}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.01)+\sqrt{0.0001}}{2*1}=\frac{0.01+\sqrt{0.0001}}{2}
$