16x^2=784

Solution for 16x^2=784 equation:

16x^2=784

We move all terms to the left:

16x^2-(784)=0

a = 16; b = 0; c = -784;
Δ = b2-4ac
Δ = 02-4·16·(-784)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-224}{2*16}=\frac{-224}{32}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+224}{2*16}=\frac{224}{32}
=7
$