x*x=2450

Solution for x*x=2450 equation:

x*x=2450

We move all terms to the left:

x*x-(2450)=0

Wy multiply elements

x^2-2450=0

a = 1; b = 0; c = -2450;
Δ = b2-4ac
Δ = 02-4·1·(-2450)
Δ = 9800
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:

$\sqrt{\Delta}=\sqrt{9800}=\sqrt{4900*2}=\sqrt{4900}*\sqrt{2}=70\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70\sqrt{2}}{2*1}=\frac{0-70\sqrt{2}}{2}
=-\frac{70\sqrt{2}}{2}
=-35\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70\sqrt{2}}{2*1}=\frac{0+70\sqrt{2}}{2}
=\frac{70\sqrt{2}}{2}
=35\sqrt{2}
$