x^2/0.2-x=0.15

Solution for x^2/0.2-x=0.15 equation:

x^2/0.2-x=0.15

We move all terms to the left:

x^2/0.2-x-(0.15)=0

We add all the numbers together, and all the variables

x^2/0.2-1x-0.15=0

We multiply all the terms by the denominator


x^2-1x*0.2-(0.15)*0.2=0

We add all the numbers together, and all the variables

x^2-1x*0.2-0.03=0

Wy multiply elements

x^2-0.2x-0.03=0

a = 1; b = -0.2; c = -0.03;
Δ = b2-4ac
Δ = -0.22-4·1·(-0.03)
Δ = 0.16
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{-(-0.2)-\sqrt{0.16}}{2*1}=\frac{0.2-\sqrt{0.16}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.2)+\sqrt{0.16}}{2*1}=\frac{0.2+\sqrt{0.16}}{2}
$