6.25=x2+2

Solution for 6.25=x2+2 equation:

6.25=x2+2

We move all terms to the left:

6.25-(x2+2)=0

We add all the numbers together, and all the variables

-(+x^2+2)+6.25=0

We get rid of parentheses

-x^2-2+6.25=0

We add all the numbers together, and all the variables

-1x^2+4.25=0

a = -1; b = 0; c = +4.25;
Δ = b2-4ac
Δ = 02-4·(-1)·4.25
Δ = 17
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{17}}{2*-1}=\frac{0-\sqrt{17}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{17}}{2*-1}=\frac{0+\sqrt{17}}{-2}
=\frac{\sqrt{}}{-2}
$