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Find the value of p so that the equation...

Find the value of p so that the equations ` 4x^(2) - 8px +9=0 ` has roots whose difference is 4.

Text Solution

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The correct Answer is:
` rArr " " p =+- (5)/(2)`
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Knowledge Check

  • The value of p for the equation x^(2) - px + 9=0 to have equal roots is:

    A
    ` +6`
    B
    ` +-6`
    C
    ` -6`
    D
    `+-13`

  • Value of x in the equations px^(2) + qx+r =0 is :

    A
    ` (- q+- sqrt (p^(2) - 4pq))/( 2p ) `
    B
    ` (- q+-sqrt( q^(2) - 4pr))/( 2p ) `
    C
    ` (-q+- sqrt(r^(2) - 4pq))/( 2r)`
    D
    ` (-q+- sqrt( p^(2) - 4pq))/( 2p )`

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