(9.82x^2)/2+14x-20=0

Solution for (9.82x^2)/2+14x-20=0 equation:

(9.82x^2)/2+14x-20=0

We add all the numbers together, and all the variables

14x+(9.82x^2)/2-20=0

We multiply all the terms by the denominator


14x*2+(9.82x^2)-20*2=0

We add all the numbers together, and all the variables

14x*2+(9.82x^2)-40=0

Wy multiply elements

28x+(9.82x^2)-40=0

We get rid of parentheses

9.82x^2+28x-40=0

a = 9.82; b = 28; c = -40;
Δ = b2-4ac
Δ = 282-4·9.82·(-40)
Δ = 2355.2
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{-(28)-\sqrt{2355.2}}{2*9.82}=\frac{-28-\sqrt{2355.2}}{19.64}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+\sqrt{2355.2}}{2*9.82}=\frac{-28+\sqrt{2355.2}}{19.64}
$