5/8x^2-5=5

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

5/8x^2-5=5

We move all terms to the left:

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


Domain of the equation: 8x^2!=0

x^2!=0/8

x^2!=√0

x!=0

x∈R


We add all the numbers together, and all the variables

5/8x^2-10=0

We multiply all the terms by the denominator


-10*8x^2+5=0

Wy multiply elements

-80x^2+5=0

a = -80; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-80)·5
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*-80}=\frac{-40}{-160}
=1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*-80}=\frac{40}{-160}
=-1/4
$