To find the number of real solutions to the equation -11x^2 = x + 11, we can rearrange the equation to the form -11x^2 - x - 11 = 0.
Using the discriminant formula, which is b^2 - 4ac, where a = -11, b = -1, and c = -11, we can determine whether the equation has real solutions.
The discriminant is (-1)^2 - 4(-11)(-11) = 1 - 484 = -483.
Since the discriminant is negative (-483 < 0), there are no real solutions to the equation -11x^2 = x + 11.
Therefore, the number of real solutions is zero.
What is the number of real solutions to the below?
–11x^2 = x + 11
1 answer