x^2/x=33

Solution for x^2/x=33 equation:

x^2/x=33

We move all terms to the left:

x^2/x-(33)=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


x^2-33*x=0

We add all the numbers together, and all the variables

x^2-33x=0

a = 1; b = -33; c = 0;
Δ = b2-4ac
Δ = -332-4·1·0
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-33}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+33}{2*1}=\frac{66}{2}
=33
$