Question

Use the discriminant to determine the number of real solutions of the equation.
x^2 = -6x - 10

Answer 1

The discriminators is b^2-4ac

Answer 2

No real solutions.

Explanation:

x² + 6x + 10 = 0

a = 1

b = 6

c = 10

D = b² - 4ac = 6² - 4*1*10 = 36 - 40 = - 4

- 4 < 0,

so this equation has no real solutions.