7x^2=250

Solution for 7x^2=250 equation:

7x^2=250

We move all terms to the left:

7x^2-(250)=0

a = 7; b = 0; c = -250;
Δ = b2-4ac
Δ = 02-4·7·(-250)
Δ = 7000
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:

$\sqrt{\Delta}=\sqrt{7000}=\sqrt{100*70}=\sqrt{100}*\sqrt{70}=10\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{70}}{2*7}=\frac{0-10\sqrt{70}}{14}
=-\frac{10\sqrt{70}}{14}
=-\frac{5\sqrt{70}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{70}}{2*7}=\frac{0+10\sqrt{70}}{14}
=\frac{10\sqrt{70}}{14}
=\frac{5\sqrt{70}}{7}
$