36/d=60d=

Solution for 36/d=60d= equation:

36/d=60d=

We move all terms to the left:

36/d-(60d)=0


Domain of the equation: d!=0

d∈R


We add all the numbers together, and all the variables

-60d+36/d=0

We multiply all the terms by the denominator


-60d*d+36=0

Wy multiply elements

-60d^2+36=0

a = -60; b = 0; c = +36;
Δ = b2-4ac
Δ = 02-4·(-60)·36
Δ = 8640
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8640}=\sqrt{576*15}=\sqrt{576}*\sqrt{15}=24\sqrt{15}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{15}}{2*-60}=\frac{0-24\sqrt{15}}{-120}
=-\frac{24\sqrt{15}}{-120}
=-\frac{\sqrt{15}}{-5}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{15}}{2*-60}=\frac{0+24\sqrt{15}}{-120}
=\frac{24\sqrt{15}}{-120}
=\frac{\sqrt{15}}{-5}
$