7m^2-7092=0

Solution for 7m^2-7092=0 equation:

7m^2-7092=0

a = 7; b = 0; c = -7092;
Δ = b2-4ac
Δ = 02-4·7·(-7092)
Δ = 198576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{198576}=\sqrt{144*1379}=\sqrt{144}*\sqrt{1379}=12\sqrt{1379}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{1379}}{2*7}=\frac{0-12\sqrt{1379}}{14}
=-\frac{12\sqrt{1379}}{14}
=-\frac{6\sqrt{1379}}{7}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{1379}}{2*7}=\frac{0+12\sqrt{1379}}{14}
=\frac{12\sqrt{1379}}{14}
=\frac{6\sqrt{1379}}{7}
$