X=9+11x2-17

Solution for X=9+11x2-17 equation:

X=9+11X^2-17

We move all terms to the left:

X-(9+11X^2-17)=0

We get rid of parentheses

-11X^2+X-9+17=0

We add all the numbers together, and all the variables

-11X^2+X+8=0

a = -11; b = 1; c = +8;
Δ = b2-4ac
Δ = 12-4·(-11)·8
Δ = 353
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{-(1)-\sqrt{353}}{2*-11}=\frac{-1-\sqrt{353}}{-22}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{353}}{2*-11}=\frac{-1+\sqrt{353}}{-22}
$