7x^2=79

Solution for 7x^2=79 equation:

7x^2=79

We move all terms to the left:

7x^2-(79)=0

a = 7; b = 0; c = -79;
Δ = b2-4ac
Δ = 02-4·7·(-79)
Δ = 2212
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2212}=\sqrt{4*553}=\sqrt{4}*\sqrt{553}=2\sqrt{553}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{553}}{2*7}=\frac{0-2\sqrt{553}}{14}
=-\frac{2\sqrt{553}}{14}
=-\frac{\sqrt{553}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{553}}{2*7}=\frac{0+2\sqrt{553}}{14}
=\frac{2\sqrt{553}}{14}
=\frac{\sqrt{553}}{7}
$