Question

what will be the values of p for which 4x^2-3px+9=0 has equal roots

Answer 1

Hey user

Here is your answer :-

4x^2 - 3px + 9 = 0

Here a = 4 , b = - 3p & C = 9

The given quadratic equation has equal roots so

b^2 - 4ac = 0

》( - 3p )^2 - 4 ( 4 )( 9 ) = 0

》9p^2 - 144 = 0

》( - 3p )^2 - ( 12 )^2 = 0

》( - 3p - 12 )( - 3p + 12 ) = 0

》p = - 4

Thank you .

Answer 2

Answer:

Hey user

Here is your answer :-

4x^2 - 3px + 9 = 0

Here a = 4 , b = - 3p & C = 9

The given quadratic equation has equal roots so

b^2 - 4ac = 0

》( - 3p )^2 - 4 ( 4 )( 9 ) = 0

》9p^2 - 144 = 0

》( - 3p )^2 - ( 12 )^2 = 0

》( - 3p - 12 )( - 3p + 12 ) = 0

》p = - 4

Thank you .

Step-by-step explanation: