(9.82*x^2)/2=10

Solution for (9.82*x^2)/2=10 equation:

(9.82x^2)/2=10

We move all terms to the left:

(9.82x^2)/2-(10)=0

We multiply all the terms by the denominator


(9.82x^2)-10*2=0

We add all the numbers together, and all the variables

(9.82x^2)-20=0

We get rid of parentheses

9.82x^2-20=0

a = 9.82; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·9.82·(-20)
Δ = 785.6
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{785.6}}{2*9.82}=\frac{0-\sqrt{785.6}}{19.64}
=-\frac{\sqrt{}}{19.64}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{785.6}}{2*9.82}=\frac{0+\sqrt{785.6}}{19.64}
=\frac{\sqrt{}}{19.64}
$