x^2/0.287-x=0

Solution for x^2/0.287-x=0 equation:

x^2/0.287-x=0

We add all the numbers together, and all the variables

x^2/0.287-1x=0

We multiply all the terms by the denominator


x^2-1x*0.287=0

Wy multiply elements

x^2-0.287x=0

a = 1; b = -0.287; c = 0;
Δ = b2-4ac
Δ = -0.2872-4·1·0
Δ = 0.082369
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{-(-0.287)-\sqrt{0.082369}}{2*1}=\frac{0.287-\sqrt{0.082369}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.287)+\sqrt{0.082369}}{2*1}=\frac{0.287+\sqrt{0.082369}}{2}
$