101x-72x^2=35

Solution for 101x-72x^2=35 equation:

101x-72x^2=35

We move all terms to the left:

101x-72x^2-(35)=0

a = -72; b = 101; c = -35;
Δ = b2-4ac
Δ = 1012-4·(-72)·(-35)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(101)-11}{2*-72}=\frac{-112}{-144}
=7/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(101)+11}{2*-72}=\frac{-90}{-144}
=5/8
$