What is the number of real solutions? –11x2 = x + 11 (1 point) Responses cannot be determined cannot be determined one solution one solution two solutions two solutions no real solutions

1 answer

To determine the number of real solutions, we can solve the equation. Rearranging it, we get:

-11x² - x - 11 = 0

Since this is a quadratic equation, it can have either two real solutions, one real solution, or no real solutions.

To determine how many solutions there are, we can use the discriminant, given by the formula b² - 4ac. In this equation, a = -11, b = -1, and c = -11.

The discriminant is (-1)² - 4(-11)(-11) = 1 - 484 = -483.

Since the discriminant is negative (-483 < 0), the quadratic equation has no real solutions. Therefore, the answer is:

No real solutions