1-x^2=1/1.25

Solution for 1-x^2=1/1.25 equation:

1-x^2=1/1.25

We move all terms to the left:

1-x^2-(1/1.25)=0

We add all the numbers together, and all the variables

-x^2+1-(+1/1.25)=0

We add all the numbers together, and all the variables

-1x^2+1-(+1/1.25)=0

We get rid of parentheses

-1x^2+1-1/1.25=0

We multiply all the terms by the denominator


-1x^2*1.25-1+1*1.25=0

We add all the numbers together, and all the variables

-1x^2*1.25+0.25=0

Wy multiply elements

-1.25x^2+0.25=0

a = -1.25; b = 0; c = +0.25;
Δ = b2-4ac
Δ = 02-4·(-1.25)·0.25
Δ = 1.25
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{1.25}}{2*-1.25}=\frac{0-\sqrt{1.25}}{-2.5}
=-\frac{\sqrt{}}{-2.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1.25}}{2*-1.25}=\frac{0+\sqrt{1.25}}{-2.5}
=\frac{\sqrt{}}{-2.5}
$