Final answer:
To solve the equation 11x^2 - 2x - 9 = 0, rearrange it into standard form and use the quadratic formula to find the solutions for x: x = 1 and x = -9/11.
Step-by-step explanation:
This is an equation in one variable. To solve it, we need to rearrange the equation, so the terms are in standard form: 11x^2 - 2x - 9 = 0. Now, we can solve this quadratic equation using the quadratic formula. For an equation of the form ax^2 + bx + c = 0, the quadratic formula is: x = (-b ± sqrt(b^2 - 4ac)) / 2a. Plugging in the values from our equation, we can calculate the solutions for x. In this case, we have two possible values for x: x = 1 and x = -9/11.