24x^2=150

Solution for 24x^2=150 equation:

24x^2=150

We move all terms to the left:

24x^2-(150)=0

a = 24; b = 0; c = -150;
Δ = b2-4ac
Δ = 02-4·24·(-150)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*24}=\frac{-120}{48}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*24}=\frac{120}{48}
=2+1/2
$