2760=7x^2

Solution for 2760=7x^2 equation:

2760=7x^2

We move all terms to the left:

2760-(7x^2)=0

a = -7; b = 0; c = +2760;
Δ = b2-4ac
Δ = 02-4·(-7)·2760
Δ = 77280
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:

$\sqrt{\Delta}=\sqrt{77280}=\sqrt{16*4830}=\sqrt{16}*\sqrt{4830}=4\sqrt{4830}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{4830}}{2*-7}=\frac{0-4\sqrt{4830}}{-14}
=-\frac{4\sqrt{4830}}{-14}
=-\frac{2\sqrt{4830}}{-7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{4830}}{2*-7}=\frac{0+4\sqrt{4830}}{-14}
=\frac{4\sqrt{4830}}{-14}
=\frac{2\sqrt{4830}}{-7}
$