x^2/0.076-x=0

Solution for x^2/0.076-x=0 equation:

x^2/0.076-x=0

We add all the numbers together, and all the variables

x^2/0.076-1x=0

We multiply all the terms by the denominator


x^2-1x*0.076=0

Wy multiply elements

x^2-0.076x=0

a = 1; b = -0.076; c = 0;
Δ = b2-4ac
Δ = -0.0762-4·1·0
Δ = 0.005776
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{-(-0.076)-\sqrt{0.005776}}{2*1}=\frac{0.076-\sqrt{0.005776}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.076)+\sqrt{0.005776}}{2*1}=\frac{0.076+\sqrt{0.005776}}{2}
$