2x*x=3500

Solution for 2x*x=3500 equation:

2x*x=3500

We move all terms to the left:

2x*x-(3500)=0

Wy multiply elements

2x^2-3500=0

a = 2; b = 0; c = -3500;
Δ = b2-4ac
Δ = 02-4·2·(-3500)
Δ = 28000
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:

$\sqrt{\Delta}=\sqrt{28000}=\sqrt{400*70}=\sqrt{400}*\sqrt{70}=20\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{70}}{2*2}=\frac{0-20\sqrt{70}}{4}
=-\frac{20\sqrt{70}}{4}
=-5\sqrt{70}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{70}}{2*2}=\frac{0+20\sqrt{70}}{4}
=\frac{20\sqrt{70}}{4}
=5\sqrt{70}
$