0.25x^2=x^2-1

Solution for 0.25x^2=x^2-1 equation:

0.25x^2=x^2-1

We move all terms to the left:

0.25x^2-(x^2-1)=0

We get rid of parentheses

0.25x^2-x^2+1=0

We add all the numbers together, and all the variables

-0.75x^2+1=0

a = -0.75; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-0.75)·1
Δ = 3
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{3}}{2*-0.75}=\frac{0-\sqrt{3}}{-1.5}
=-\frac{\sqrt{}}{-1.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3}}{2*-0.75}=\frac{0+\sqrt{3}}{-1.5}
=\frac{\sqrt{}}{-1.5}
$