16x+10/X=58.91

Solution for 16x+10/X=58.91 equation:

16x+10/x=58.91

We move all terms to the left:

16x+10/x-(58.91)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

16x+10/x-58.91=0

We multiply all the terms by the denominator


16x*x-(58.91)*x+10=0

We multiply parentheses

16x*x-58.91x+10=0

Wy multiply elements

16x^2-58.91x+10=0

a = 16; b = -58.91; c = +10;
Δ = b2-4ac
Δ = -58.912-4·16·10
Δ = 2830.3881
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{-(-58.91)-\sqrt{2830.3881}}{2*16}=\frac{58.91-\sqrt{2830.3881}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58.91)+\sqrt{2830.3881}}{2*16}=\frac{58.91+\sqrt{2830.3881}}{32}
$