9.82x^2=200

Solution for 9.82x^2=200 equation:

9.82x^2=200

We move all terms to the left:

9.82x^2-(200)=0

a = 9.82; b = 0; c = -200;
Δ = b2-4ac
Δ = 02-4·9.82·(-200)
Δ = 7856
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:

$\sqrt{\Delta}=\sqrt{7856}=\sqrt{16*491}=\sqrt{16}*\sqrt{491}=4\sqrt{491}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{491}}{2*9.82}=\frac{0-4\sqrt{491}}{19.64}
=-\frac{4\sqrt{491}}{19.64}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{491}}{2*9.82}=\frac{0+4\sqrt{491}}{19.64}
=\frac{4\sqrt{491}}{19.64}
$