Question

determine the value of pfor which the quadratic equation 4x2-2px+9 has two equal roots​

Answer 1

Answer:

a= 4 b= 2p c =9

Two equal roots

D = 0

$d = {b}^{2} - 4ac$

$= {(2p)}^{2} - 4 \times 4 \times 9$

$= {(2p)}^{2} - 144$

$144 = {(2p)}^{2}$

$\sqrt{144} = 2p$

$12 = 2p$

p = 6