96=9.8x^2/2

Solution for 96=9.8x^2/2 equation:

96=9.8x^2/2

We move all terms to the left:

96-(9.8x^2/2)=0

We get rid of parentheses

-9.8x^2/2+96=0

We multiply all the terms by the denominator


-9.8x^2+96*2=0

We add all the numbers together, and all the variables

-9.8x^2+192=0

a = -9.8; b = 0; c = +192;
Δ = b2-4ac
Δ = 02-4·(-9.8)·192
Δ = 7526.4
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{-(0)-\sqrt{7526.4}}{2*-9.8}=\frac{0-\sqrt{7526.4}}{-19.6}
=-\frac{\sqrt{}}{-19.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{7526.4}}{2*-9.8}=\frac{0+\sqrt{7526.4}}{-19.6}
=\frac{\sqrt{}}{-19.6}
$