x^2/0.01-x=10^-2.15

Solution for x^2/0.01-x=10^-2.15 equation:

x^2/0.01-x=10^-2.15

We move all terms to the left:

x^2/0.01-x-(10^-2.15)=0

We add all the numbers together, and all the variables

x^2/0.01-1x-0.00707945784384=0

We multiply all the terms by the denominator


x^2-1x*0.01-(0.00707945784384)*0.01=0

We add all the numbers together, and all the variables

x^2-1x*0.01-5-7.07945784384E=0

Wy multiply elements

x^2-0.01x-5-7.07945784384E=0

We add all the numbers together, and all the variables

x^2-0.01x-24.2439616123=0

a = 1; b = -0.01; c = -24.2439616123;
Δ = b2-4ac
Δ = -0.012-4·1·(-24.2439616123)
Δ = 96.9759464492
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{-(-0.01)-\sqrt{96.9759464492}}{2*1}=\frac{0.01-\sqrt{96.9759464492}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.01)+\sqrt{96.9759464492}}{2*1}=\frac{0.01+\sqrt{96.9759464492}}{2}
$