5m2-54=0

Solution for 5m2-54=0 equation:

5m^2-54=0

a = 5; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·5·(-54)
Δ = 1080
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:

$\sqrt{\Delta}=\sqrt{1080}=\sqrt{36*30}=\sqrt{36}*\sqrt{30}=6\sqrt{30}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{30}}{2*5}=\frac{0-6\sqrt{30}}{10}
=-\frac{6\sqrt{30}}{10}
=-\frac{3\sqrt{30}}{5}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{30}}{2*5}=\frac{0+6\sqrt{30}}{10}
=\frac{6\sqrt{30}}{10}
=\frac{3\sqrt{30}}{5}
$