x(x-1)=2450

Solution for x(x-1)=2450 equation:

x(x-1)=2450

We move all terms to the left:

x(x-1)-(2450)=0

We multiply parentheses

x^2-1x-2450=0

a = 1; b = -1; c = -2450;
Δ = b2-4ac
Δ = -12-4·1·(-2450)
Δ = 9801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9801}=99$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-99}{2*1}=\frac{-98}{2}
=-49
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+99}{2*1}=\frac{100}{2}
=50
$