275+x2/x=32

Solution for 275+x2/x=32 equation:

275+x2/x=32

We move all terms to the left:

275+x2/x-(32)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x2/x+243=0

We multiply all the terms by the denominator


x2+243*x=0

We add all the numbers together, and all the variables

x^2+243x=0

a = 1; b = 243; c = 0;
Δ = b2-4ac
Δ = 2432-4·1·0
Δ = 59049
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{59049}=243$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(243)-243}{2*1}=\frac{-486}{2}
=-243
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(243)+243}{2*1}=\frac{0}{2}
=0
$