0=4.9x^2-13.56x-135

Solution for 0=4.9x^2-13.56x-135 equation:

0=4.9x^2-13.56x-135

We move all terms to the left:

0-(4.9x^2-13.56x-135)=0

We add all the numbers together, and all the variables

-(4.9x^2-13.56x-135)=0

We get rid of parentheses

-4.9x^2+13.56x+135=0

a = -4.9; b = 13.56; c = +135;
Δ = b2-4ac
Δ = 13.562-4·(-4.9)·135
Δ = 2829.8736
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{-(13.56)-\sqrt{2829.8736}}{2*-4.9}=\frac{-13.56-\sqrt{2829.8736}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13.56)+\sqrt{2829.8736}}{2*-4.9}=\frac{-13.56+\sqrt{2829.8736}}{-9.8}
$