28.5x^2-150=0

Solution for 28.5x^2-150=0 equation:

28.5x^2-150=0

a = 28.5; b = 0; c = -150;
Δ = b2-4ac
Δ = 02-4·28.5·(-150)
Δ = 17100
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:

$\sqrt{\Delta}=\sqrt{17100}=\sqrt{900*19}=\sqrt{900}*\sqrt{19}=30\sqrt{19}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{19}}{2*28.5}=\frac{0-30\sqrt{19}}{57}
=-\frac{30\sqrt{19}}{57}
=-\frac{10\sqrt{19}}{19}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{19}}{2*28.5}=\frac{0+30\sqrt{19}}{57}
=\frac{30\sqrt{19}}{57}
=\frac{10\sqrt{19}}{19}
$