8/5x^2=640

Solution for 8/5x^2=640 equation:

8/5x^2=640

We move all terms to the left:

8/5x^2-(640)=0


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

x^2!=0/5

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-640*5x^2+8=0

Wy multiply elements

-3200x^2+8=0

a = -3200; b = 0; c = +8;
Δ = b2-4ac
Δ = 02-4·(-3200)·8
Δ = 102400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{102400}=320$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-320}{2*-3200}=\frac{-320}{-6400}
=1/20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+320}{2*-3200}=\frac{320}{-6400}
=-1/20
$