x^2-5/2=8^-2

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

x^2-5/2=8^-2

We move all terms to the left:

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

We add all the numbers together, and all the variables

x^2-0.015625-5/2=0

We multiply all the terms by the denominator


x^2*2-5-(0.015625)*2=0

We add all the numbers together, and all the variables

x^2*2-5.03125=0

Wy multiply elements

2x^2-5.03125=0

a = 2; b = 0; c = -5.03125;
Δ = b2-4ac
Δ = 02-4·2·(-5.03125)
Δ = 40.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{40.25}}{2*2}=\frac{0-\sqrt{40.25}}{4}
=-\frac{\sqrt{}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{40.25}}{2*2}=\frac{0+\sqrt{40.25}}{4}
=\frac{\sqrt{}}{4}
$