x^2/0.5-x=0.0075

Solution for x^2/0.5-x=0.0075 equation:

x^2/0.5-x=0.0075

We move all terms to the left:

x^2/0.5-x-(0.0075)=0

We add all the numbers together, and all the variables

x^2/0.5-1x-0.0075=0

We multiply all the terms by the denominator


x^2-1x*0.5-(0.0075)*0.5=0

We add all the numbers together, and all the variables

x^2-1x*0.5-0.00375=0

Wy multiply elements

x^2-0.5x-0.00375=0

a = 1; b = -0.5; c = -0.00375;
Δ = b2-4ac
Δ = -0.52-4·1·(-0.00375)
Δ = 0.265
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{-(-0.5)-\sqrt{0.265}}{2*1}=\frac{0.5-\sqrt{0.265}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.5)+\sqrt{0.265}}{2*1}=\frac{0.5+\sqrt{0.265}}{2}
$