For what value of k does the quadratic equation4x2 + px +3 = 0 have equal roots? (CBSE 2014)

For a quadratic equation, ax2 + bx + c = 0, D = b2 – 4ac If D = 0, roots are real and equal ⇒ D = p2 – 4 × 4 × 3 = 0 ⇒ p2 = 48 ⇒ p = �4√3

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For what value of k does the quadratic equation
4x² + px +3 = 0 have equal roots? (CBSE 2014)

For a quadratic equation, ax² + bx + c = 0,

D = b² – 4ac

If D = 0, roots are real and equal

⇒ D = p² – 4 × 4 × 3 = 0

⇒ p² = 48

⇒ p = �4√3

For what value of k does the quadratic equation

kx(x – 2) + 6 = 0 have equal roots? (CBSE 2013)

For what value of k does the quadratic equation

px(x – 3) + 9 = 0 have equal roots? (CBSE 2014)

Find the values of k for which the quadratic equation has equal roots. Also, find these roots. (CBSE 2014)

Find the values of p for which the quadratic equation (2p+1) x² - (7p+2) x + (7p-3) =0 has equal roots. Also, find these roots. (CBSE 2014)