60.5=101x+4.9x^2

Solution for 60.5=101x+4.9x^2 equation:

60.5=101x+4.9x^2

We move all terms to the left:

60.5-(101x+4.9x^2)=0

We get rid of parentheses

-4.9x^2-101x+60.5=0

a = -4.9; b = -101; c = +60.5;
Δ = b2-4ac
Δ = -1012-4·(-4.9)·60.5
Δ = 11386.8
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{-(-101)-\sqrt{11386.8}}{2*-4.9}=\frac{101-\sqrt{11386.8}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-101)+\sqrt{11386.8}}{2*-4.9}=\frac{101+\sqrt{11386.8}}{-9.8}
$