7x^2=110

Solution for 7x^2=110 equation:

7x^2=110

We move all terms to the left:

7x^2-(110)=0

a = 7; b = 0; c = -110;
Δ = b2-4ac
Δ = 02-4·7·(-110)
Δ = 3080
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:

$\sqrt{\Delta}=\sqrt{3080}=\sqrt{4*770}=\sqrt{4}*\sqrt{770}=2\sqrt{770}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{770}}{2*7}=\frac{0-2\sqrt{770}}{14}
=-\frac{2\sqrt{770}}{14}
=-\frac{\sqrt{770}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{770}}{2*7}=\frac{0+2\sqrt{770}}{14}
=\frac{2\sqrt{770}}{14}
=\frac{\sqrt{770}}{7}
$