6u^2-600=0

Solution for 6u^2-600=0 equation:

6u^2-600=0

a = 6; b = 0; c = -600;
Δ = b2-4ac
Δ = 02-4·6·(-600)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*6}=\frac{-120}{12}
=-10
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*6}=\frac{120}{12}
=10
$