X-12/x+15=0

Solution for X-12/x+15=0 equation:

X-12/X+15=0


Domain of the equation: X!=0

X∈R


We multiply all the terms by the denominator


X*X+15*X-12=0

We add all the numbers together, and all the variables

15X+X*X-12=0

Wy multiply elements

X^2+15X-12=0

a = 1; b = 15; c = -12;
Δ = b2-4ac
Δ = 152-4·1·(-12)
Δ = 273
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{-(15)-\sqrt{273}}{2*1}=\frac{-15-\sqrt{273}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{273}}{2*1}=\frac{-15+\sqrt{273}}{2}
$