55-16x^2=0

Solution for 55-16x^2=0 equation:

55-16x^2=0

a = -16; b = 0; c = +55;
Δ = b2-4ac
Δ = 02-4·(-16)·55
Δ = 3520
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3520}=\sqrt{64*55}=\sqrt{64}*\sqrt{55}=8\sqrt{55}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{55}}{2*-16}=\frac{0-8\sqrt{55}}{-32}
=-\frac{8\sqrt{55}}{-32}
=-\frac{\sqrt{55}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{55}}{2*-16}=\frac{0+8\sqrt{55}}{-32}
=\frac{8\sqrt{55}}{-32}
=\frac{\sqrt{55}}{-4}
$