29x^2=750

Solution for 29x^2=750 equation:

29x^2=750

We move all terms to the left:

29x^2-(750)=0

a = 29; b = 0; c = -750;
Δ = b2-4ac
Δ = 02-4·29·(-750)
Δ = 87000
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:

$\sqrt{\Delta}=\sqrt{87000}=\sqrt{100*870}=\sqrt{100}*\sqrt{870}=10\sqrt{870}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{870}}{2*29}=\frac{0-10\sqrt{870}}{58}
=-\frac{10\sqrt{870}}{58}
=-\frac{5\sqrt{870}}{29}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{870}}{2*29}=\frac{0+10\sqrt{870}}{58}
=\frac{10\sqrt{870}}{58}
=\frac{5\sqrt{870}}{29}
$