x^2/0,10-x=46000

Solution for x^2/0,10-x=46000 equation:

x^2/0.10-x=46000

We move all terms to the left:

x^2/0.10-x-(46000)=0

We add all the numbers together, and all the variables

x^2/0.10-1x-46000=0

We multiply all the terms by the denominator


x^2-1x*0.10-46000*0.10=0

We add all the numbers together, and all the variables

x^2-1x*0.10-4600=0

Wy multiply elements

x^2-0.1x-4600=0

a = 1; b = -0.1; c = -4600;
Δ = b2-4ac
Δ = -0.12-4·1·(-4600)
Δ = 18400.01
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{-(-0.1)-\sqrt{18400.01}}{2*1}=\frac{0.1-\sqrt{18400.01}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.1)+\sqrt{18400.01}}{2*1}=\frac{0.1+\sqrt{18400.01}}{2}
$