Question

What is the value of p in the equation?

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Answer 1

3x² - px + 5 = 0 has real roots

So p² - 4*3*5 ≥ 0

⇒ p² ≥ 60

⇒ p ≤ -√60 and p ≥ √60

Answer 2

Answer:

p ≤ -√60 OR p ≥ √60.

Step-by-step explanation:

3x² - px + 5 = 0 has real roots.

ax² + bx + c = 0,

here, a = 3 , b = -p , c = 5.

∴for a quadratic equation having real roots.

The condition is D=b²-4(a)(c)≥ 0

So, p² - 4(3)(5) ≥ 0

∴ p² ≥ 60

∴ p ≤ -√60 OR p ≥ √60.