Question

Given the trinomial 2x2 + 4x + 4, predict the type of solutions.

Answer 1

Two complex solutions

Explanation:

Test

Answer 2

solutions are not real

Explanation:

Use the discriminant to determine the type of solutions

Given ax² + bx + c, then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then solutions are real and distinct

• If b² - 4ac = 0 then solutions are real and equal

• If b² - 4ac < 0 then solutions are not real

For 2x² + 4x + 4

with a = 2, b = 4 , c = 4 , then

b² - 4ac = 4² - (4 × 2 × 4) = 16 - 32 = - 16

Since b² - 4ac < 0 then solutions are not real