x=22x2-7

Solution for x=22x2-7 equation:

x=22x^2-7

We move all terms to the left:

x-(22x^2-7)=0

We get rid of parentheses

-22x^2+x+7=0

a = -22; b = 1; c = +7;
Δ = b2-4ac
Δ = 12-4·(-22)·7
Δ = 617
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{-(1)-\sqrt{617}}{2*-22}=\frac{-1-\sqrt{617}}{-44}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{617}}{2*-22}=\frac{-1+\sqrt{617}}{-44}
$