3/5x^2+5=20

Solution for 3/5x^2+5=20 equation:

3/5x^2+5=20

We move all terms to the left:

3/5x^2+5-(20)=0


Domain of the equation: 5x^2!=0

x^2!=0/5

x^2!=√0

x!=0

x∈R


We add all the numbers together, and all the variables

3/5x^2-15=0

We multiply all the terms by the denominator


-15*5x^2+3=0

Wy multiply elements

-75x^2+3=0

a = -75; b = 0; c = +3;
Δ = b2-4ac
Δ = 02-4·(-75)·3
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*-75}=\frac{-30}{-150}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*-75}=\frac{30}{-150}
=-1/5
$