X(x+1)=134

Solution for X(x+1)=134 equation:

X(X+1)=134

We move all terms to the left:

X(X+1)-(134)=0

We multiply parentheses

X^2+X-134=0

a = 1; b = 1; c = -134;
Δ = b2-4ac
Δ = 12-4·1·(-134)
Δ = 537
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{537}}{2*1}=\frac{-1-\sqrt{537}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{537}}{2*1}=\frac{-1+\sqrt{537}}{2}
$