60/x=15x

Solution for 60/x=15x equation:

60/x=15x

We move all terms to the left:

60/x-(15x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-15x+60/x=0

We multiply all the terms by the denominator


-15x*x+60=0

Wy multiply elements

-15x^2+60=0

a = -15; b = 0; c = +60;
Δ = b2-4ac
Δ = 02-4·(-15)·60
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-15}=\frac{-60}{-30}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-15}=\frac{60}{-30}
=-2
$