5*5+6.25*6.25=x*x

Solution for 5*5+6.25*6.25=x*x equation:

5*5+6.25*6.25=x*x

We move all terms to the left:

5*5+6.25*6.25-(x*x)=0

We add all the numbers together, and all the variables

-(+x*x)+5*5+6.25*6.25=0

We add all the numbers together, and all the variables

-(+x*x)+64.0625=0

We get rid of parentheses

-x*x+64.0625=0

Wy multiply elements

-1x^2+64.0625=0

a = -1; b = 0; c = +64.0625;
Δ = b2-4ac
Δ = 02-4·(-1)·64.0625
Δ = 256.25
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{256.25}}{2*-1}=\frac{0-\sqrt{256.25}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{256.25}}{2*-1}=\frac{0+\sqrt{256.25}}{-2}
=\frac{\sqrt{}}{-2}
$