11x2+14x=2685

Solution for 11x2+14x=2685 equation:

11x^2+14x=2685

We move all terms to the left:

11x^2+14x-(2685)=0

a = 11; b = 14; c = -2685;
Δ = b2-4ac
Δ = 142-4·11·(-2685)
Δ = 118336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{118336}=344$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-344}{2*11}=\frac{-358}{22}
=-16+3/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+344}{2*11}=\frac{330}{22}
=15
$