x2/5x=12

Solution for x2/5x=12 equation:

x2/5x=12

We move all terms to the left:

x2/5x-(12)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We multiply all the terms by the denominator


x2-12*5x=0

We add all the numbers together, and all the variables

x^2-12*5x=0

Wy multiply elements

x^2-60x=0

a = 1; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·1·0
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{-(-60)-60}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*1}=\frac{120}{2}
=60
$