(x^2)/10-x=200

Solution for (x^2)/10-x=200 equation:

(x^2)/10-x=200

We move all terms to the left:

(x^2)/10-x-(200)=0

We add all the numbers together, and all the variables

x^2/10-1x-200=0

We multiply all the terms by the denominator


x^2-1x*10-200*10=0

We add all the numbers together, and all the variables

x^2-1x*10-2000=0

Wy multiply elements

x^2-10x-2000=0

a = 1; b = -10; c = -2000;
Δ = b2-4ac
Δ = -102-4·1·(-2000)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-90}{2*1}=\frac{-80}{2}
=-40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+90}{2*1}=\frac{100}{2}
=50
$