11x+3=16x2

Solution for 11x+3=16x2 equation:

11x+3=16x^2

We move all terms to the left:

11x+3-(16x^2)=0

determiningTheFunctionDomain
-16x^2+11x+3=0

a = -16; b = 11; c = +3;
Δ = b2-4ac
Δ = 112-4·(-16)·3
Δ = 313
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{-(11)-\sqrt{313}}{2*-16}=\frac{-11-\sqrt{313}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{313}}{2*-16}=\frac{-11+\sqrt{313}}{-32}
$