1-x^2=1.5625*x^2

Solution for 1-x^2=1.5625*x^2 equation:

1-x^2=1.5625*x^2

We move all terms to the left:

1-x^2-(1.5625*x^2)=0

We add all the numbers together, and all the variables

-1x^2-(1.5625*x^2)+1=0

We get rid of parentheses

-1x^2-1.5625*x^2+1=0

We add all the numbers together, and all the variables

-2.5625x^2+1=0

a = -2.5625; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-2.5625)·1
Δ = 10.25
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{10.25}}{2*-2.5625}=\frac{0-\sqrt{10.25}}{-5.125}
=-\frac{\sqrt{}}{-5.125}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{10.25}}{2*-2.5625}=\frac{0+\sqrt{10.25}}{-5.125}
=\frac{\sqrt{}}{-5.125}
$