36.77x-4.9x^2=68.98

Solution for 36.77x-4.9x^2=68.98 equation:

36.77x-4.9x^2=68.98

We move all terms to the left:

36.77x-4.9x^2-(68.98)=0

We add all the numbers together, and all the variables

-4.9x^2+36.77x-68.98=0

a = -4.9; b = 36.77; c = -68.98;
Δ = b2-4ac
Δ = 36.772-4·(-4.9)·(-68.98)
Δ = 0.024899999999889
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{-(36.77)-\sqrt{0.024899999999889}}{2*-4.9}=\frac{-36.77-\sqrt{0.024899999999889}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36.77)+\sqrt{0.024899999999889}}{2*-4.9}=\frac{-36.77+\sqrt{0.024899999999889}}{-9.8}
$