x^2/1-x=10^-8

Solution for x^2/1-x=10^-8 equation:

x^2/1-x=10^-8

We move all terms to the left:

x^2/1-x-(10^-8)=0

We add all the numbers together, and all the variables

x^2/1-1x-8-1.0E=0

We multiply all the terms by the denominator


x^2-1x*1-8*1-(1.0E)*1=0

We add all the numbers together, and all the variables

x^2-1x*1-8*1-(2.718281828459)*1=0

We add all the numbers together, and all the variables

x^2-1x*1-10.718281828459=0

Wy multiply elements

x^2-1x-10.718281828459=0

a = 1; b = -1; c = -10.718281828459;
Δ = b2-4ac
Δ = -12-4·1·(-10.718281828459)
Δ = 43.873127313836
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{-(-1)-\sqrt{43.873127313836}}{2*1}=\frac{1-\sqrt{43.873127313836}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{43.873127313836}}{2*1}=\frac{1+\sqrt{43.873127313836}}{2}
$