X+11=15/x=4

Solution for X+11=15/x=4 equation:

X+11=15/X=4

We move all terms to the left:

X+11-(15/X)=0


Domain of the equation: X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+15/X)+11=0

We get rid of parentheses

X-15/X+11=0

We multiply all the terms by the denominator


X*X+11*X-15=0

We add all the numbers together, and all the variables

11X+X*X-15=0

Wy multiply elements

X^2+11X-15=0

a = 1; b = 11; c = -15;
Δ = b2-4ac
Δ = 112-4·1·(-15)
Δ = 181
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{-(11)-\sqrt{181}}{2*1}=\frac{-11-\sqrt{181}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{181}}{2*1}=\frac{-11+\sqrt{181}}{2}
$