x*2x=10290

Solution for x*2x=10290 equation:

x*2x=10290

We move all terms to the left:

x*2x-(10290)=0

Wy multiply elements

2x^2-10290=0

a = 2; b = 0; c = -10290;
Δ = b2-4ac
Δ = 02-4·2·(-10290)
Δ = 82320
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:

$\sqrt{\Delta}=\sqrt{82320}=\sqrt{784*105}=\sqrt{784}*\sqrt{105}=28\sqrt{105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{105}}{2*2}=\frac{0-28\sqrt{105}}{4}
=-\frac{28\sqrt{105}}{4}
=-7\sqrt{105}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{105}}{2*2}=\frac{0+28\sqrt{105}}{4}
=\frac{28\sqrt{105}}{4}
=7\sqrt{105}
$