x(x-1)=(11)(10)

Solution for x(x-1)=(11)(10) equation:

x(x-1)=(11)(10)

We move all terms to the left:

x(x-1)-((11)(10))=0

determiningTheFunctionDomain
x(x-1)-1110=0

We multiply parentheses

x^2-1x-1110=0

a = 1; b = -1; c = -1110;
Δ = b2-4ac
Δ = -12-4·1·(-1110)
Δ = 4441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{4441}}{2*1}=\frac{1-\sqrt{4441}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{4441}}{2*1}=\frac{1+\sqrt{4441}}{2}
$