Find the value of the discriminant for . Then describe the number and type of roots for the equation. Question Find the value of the discriminant for . Then describe the number and type of roots for the equation. in progress 0 Math Alice 1 month 2021-10-14T22:57:57+00:00 2021-10-14T22:57:57+00:00 1 Answer 0 views 0

## Answers ( )

Answer:No real roots

Step-by-step explanation:Given

7x² + 5x + 1 = 0 ← in standard form

with a = 7, b = 5, c = 1

To determine the nature of the roots use the discriminant

Δ = b² – 4ac

• If b² – 4ac > 0 then roots are real and distinct

• If b² – 4ac = 0 then roots are real and equal

• If b² – 4ac < 0 then the roots are not real

Here

b² – 4ac = 5² – (4 × 7 × 1) = 25 – 28 = – 3

Thus the 2 roots are not real