16x^2=1936

Solution for 16x^2=1936 equation:

16x^2=1936

We move all terms to the left:

16x^2-(1936)=0

a = 16; b = 0; c = -1936;
Δ = b2-4ac
Δ = 02-4·16·(-1936)
Δ = 123904
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{123904}=352$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-352}{2*16}=\frac{-352}{32}
=-11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+352}{2*16}=\frac{352}{32}
=11
$