Question

find the nature of the root of the quadratic polynomial X square + 10 X + 64​

Answer 1

Answer:

No real roots.

Explanation:

To find: The nature of the roots of the quadratic polynomial

x² + 10x + 64

Proof:

= x² + 10x + 64

• a = 1
• b = 10
• c = 64

∴Discriminant = D = b² - 4ac

Substituting the values, we get:

= b² - 4ac = (10)² - 4 (1) (64)

⇒ b² - 4ac = 100 - 4 (64)

⇒ b² - 4ac = 100 - 256

⇒ b² - 4ac = -156

∴ -156 < 0

⇒ b² - 4ac < 0

Hence, the given quadratic polynomial has no real roots.

Hope you understood.

Thank You.

Answer 2

Answer:

no real root

Step-by-step explanation:

because 64÷1/64. 64-1=63

64÷2=32. 64-2= 62

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64÷16=4. 16-4=12

so, that no real roots

I hope it may help you