377/x=x+16

Solution for 377/x=x+16 equation:

377/x=x+16

We move all terms to the left:

377/x-(x+16)=0


Domain of the equation: x!=0

x∈R


We get rid of parentheses

377/x-x-16=0

We multiply all the terms by the denominator


-x*x-16*x+377=0

We add all the numbers together, and all the variables

-16x-x*x+377=0

Wy multiply elements

-1x^2-16x+377=0

a = -1; b = -16; c = +377;
Δ = b2-4ac
Δ = -162-4·(-1)·377
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-42}{2*-1}=\frac{-26}{-2}
=+13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+42}{2*-1}=\frac{58}{-2}
=-29
$