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almond37 [142]
3 years ago
14

Find the value of the discriminant for

x^{2} +5x+1=0" alt="7x^{2} +5x+1=0" align="absmiddle" class="latex-formula">. Then describe the number and type of roots for the equation.
Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

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

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