1.992=-4.92x^2+9.8x+2

Solution for 1.992=-4.92x^2+9.8x+2 equation:

1.992=-4.92x^2+9.8x+2

We move all terms to the left:

1.992-(-4.92x^2+9.8x+2)=0

We get rid of parentheses

4.92x^2-9.8x-2+1.992=0

We add all the numbers together, and all the variables

4.92x^2-9.8x-0.008=0

a = 4.92; b = -9.8; c = -0.008;
Δ = b2-4ac
Δ = -9.82-4·4.92·(-0.008)
Δ = 96.19744
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{-(-9.8)-\sqrt{96.19744}}{2*4.92}=\frac{9.8-\sqrt{96.19744}}{9.84}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.8)+\sqrt{96.19744}}{2*4.92}=\frac{9.8+\sqrt{96.19744}}{9.84}
$