6.25=2x2+2

Solution for 6.25=2x2+2 equation:

6.25=2x^2+2

We move all terms to the left:

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

We get rid of parentheses

-2x^2-2+6.25=0

We add all the numbers together, and all the variables

-2x^2+4.25=0

a = -2; b = 0; c = +4.25;
Δ = b2-4ac
Δ = 02-4·(-2)·4.25
Δ = 34
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{34}}{2*-2}=\frac{0-\sqrt{34}}{-4}
=-\frac{\sqrt{}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{34}}{2*-2}=\frac{0+\sqrt{34}}{-4}
=\frac{\sqrt{}}{-4}
$