X^2/0.1-x=0

Solution for X^2/0.1-x=0 equation:

X^2/0.1-X=0

We add all the numbers together, and all the variables

X^2/0.1-1X=0

We multiply all the terms by the denominator


X^2-1X*0.1=0

Wy multiply elements

X^2-0.1X=0

a = 1; b = -0.1; c = 0;
Δ = b2-4ac
Δ = -0.12-4·1·0
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*1}=\frac{0.1-\sqrt{0.01}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.1)+\sqrt{0.01}}{2*1}=\frac{0.1+\sqrt{0.01}}{2}
$