11(x*x)+85x-9=0

Solution for 11(x*x)+85x-9=0 equation:

11(x*x)+85x-9=0

We add all the numbers together, and all the variables

11(+x*x)+85x-9=0

We add all the numbers together, and all the variables

85x+11(+x*x)-9=0

We multiply parentheses

11x^2+85x-9=0

a = 11; b = 85; c = -9;
Δ = b2-4ac
Δ = 852-4·11·(-9)
Δ = 7621
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{-(85)-\sqrt{7621}}{2*11}=\frac{-85-\sqrt{7621}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+\sqrt{7621}}{2*11}=\frac{-85+\sqrt{7621}}{22}
$