X*(x+10)=1739

Solution for X*(x+10)=1739 equation:

X*(X+10)=1739

We move all terms to the left:

X*(X+10)-(1739)=0

We multiply parentheses

X^2+10X-1739=0

a = 1; b = 10; c = -1739;
Δ = b2-4ac
Δ = 102-4·1·(-1739)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-84}{2*1}=\frac{-94}{2}
=-47
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+84}{2*1}=\frac{74}{2}
=37
$