Question

What is the number of real solutions?
-11x^2 = x+11

a.cannot be determined
b.one solution
c.two solutions
d.no real solutions

Answer 1

Put the equation in standard form by adding -11x^2 to both sides.

Then find the discriminant.
If the quadratic equation is ax^2 + bx + c = 0
the discriminant D = b^2 - 4ac

Find D and we can take the next step.

Answer 2

-11x^2 = x+11
Put the equation in standard form by adding 11x^2 to both sides.
0 = 11x^2 + x + 11 or
11x^2 + x + 11 = 0
Compare this to the standard quadratic equation ax^2 + bx + c = 0

What is a, b, c?
What is discriminant = b^2 - 4ac ?