4/8x2-1=7

Solution for 4/8x2-1=7 equation:

4/8x^2-1=7

We move all terms to the left:

4/8x^2-1-(7)=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

4/8x^2-8=0

We multiply all the terms by the denominator


-8*8x^2+4=0

Wy multiply elements

-64x^2+4=0

a = -64; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-64)·4
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32}{2*-64}=\frac{-32}{-128}
=1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32}{2*-64}=\frac{32}{-128}
=-1/4
$