2x-3/x+93=x

Solution for 2x-3/x+93=x equation:

2x-3/x+93=x

We move all terms to the left:

2x-3/x+93-(x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-3/x+93=0

We multiply all the terms by the denominator


x*x+93*x-3=0

We add all the numbers together, and all the variables

93x+x*x-3=0

Wy multiply elements

x^2+93x-3=0

a = 1; b = 93; c = -3;
Δ = b2-4ac
Δ = 932-4·1·(-3)
Δ = 8661
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{-(93)-\sqrt{8661}}{2*1}=\frac{-93-\sqrt{8661}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(93)+\sqrt{8661}}{2*1}=\frac{-93+\sqrt{8661}}{2}
$