56/16=x2

Solution for 56/16=x2 equation:

56/16=x2

We move all terms to the left:

56/16-(x2)=0

We add all the numbers together, and all the variables

-1x^2+56/16=0

We multiply all the terms by the denominator


-1x^2*16+56=0

Wy multiply elements

-16x^2+56=0

a = -16; b = 0; c = +56;
Δ = b2-4ac
Δ = 02-4·(-16)·56
Δ = 3584
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:

$\sqrt{\Delta}=\sqrt{3584}=\sqrt{256*14}=\sqrt{256}*\sqrt{14}=16\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{14}}{2*-16}=\frac{0-16\sqrt{14}}{-32}
=-\frac{16\sqrt{14}}{-32}
=-\frac{\sqrt{14}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{14}}{2*-16}=\frac{0+16\sqrt{14}}{-32}
=\frac{16\sqrt{14}}{-32}
=\frac{\sqrt{14}}{-2}
$