Using the Discriminant to Calculate a Value

Question 1

If the question asks, such that…has real roots, what will your equation be?

Answer 1

≥0

Question 2

If the question asks, such that…has non-real roots, what will your equation be?

Answer 2

<0

Question 3

If the question asks, show that… always has real roots, what will your equation be?

Answer 3

Start with =0 but we want to finish with ≥0 to show roots are always real, we show this by saying =>roots are always real

Question 4

If the question asks, such that…has equal roots, what will your equation be?

Answer 4

=0