2.5x^2=750

Solution for 2.5x^2=750 equation:

2.5x^2=750

We move all terms to the left:

2.5x^2-(750)=0

a = 2.5; b = 0; c = -750;
Δ = b2-4ac
Δ = 02-4·2.5·(-750)
Δ = 7500
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:

$\sqrt{\Delta}=\sqrt{7500}=\sqrt{2500*3}=\sqrt{2500}*\sqrt{3}=50\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-50\sqrt{3}}{2*2.5}=\frac{0-50\sqrt{3}}{5}
=-\frac{50\sqrt{3}}{5}
=-10\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+50\sqrt{3}}{2*2.5}=\frac{0+50\sqrt{3}}{5}
=\frac{50\sqrt{3}}{5}
=10\sqrt{3}
$