Question

Find the values of p for which the given polynomial 4x^2 + px +3 has equal roots?
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Answer 1

Answer:

p=4root 3

Step-by-step explanation:

when polynomial have equal roots then..

D=b^2-4ac

=p^2-4×4×3

=p^2-48

p

$\sqrt{48}$

p=

$4 \sqrt{3}$

Answer 2

The value of "p" is "$\sqrt[4]{3}$". Further explanation is given below.

Step-by-step explanation:

The given equation is:

4x²+px+3 = 0

If the given equation has equal roots, then

b²-4ac = 0

On putting the values in the above form, we get

⇒  (p)²-4×4×3 = 0

⇒  p²-16×3 = 0

⇒  p²-48 = 0

⇒  p² = 48

⇒  p = $\sqrt{48}$

⇒  p = $\sqrt[4]{3}$

Learn more:

Find p...

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