X+x(2)=825

Solution for X+x(2)=825 equation:

X+X(2)=825

We move all terms to the left:

X+X(2)-(825)=0

We add all the numbers together, and all the variables

X^2+X-825=0

a = 1; b = 1; c = -825;
Δ = b2-4ac
Δ = 12-4·1·(-825)
Δ = 3301
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{3301}}{2*1}=\frac{-1-\sqrt{3301}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{3301}}{2*1}=\frac{-1+\sqrt{3301}}{2}
$