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Question

The same value of x satisfies the equations 4x + 5 = 0 and 4x2+ (5 + 3p)x + 3p2=0, then p is


A

0 or 1/4

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B

0 or 5/4

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C

1/4 or 1/2

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D

0 or 1/2

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Solution

The correct option is B

0 or 5/4


4 x + 5 = 0 x = - 5/4

4x2+ (5 + 3p) x + 3p2 = 0

4 (- 5/4)2+ (5 + 3p) (- 5/4) + 3p2 = 0

25/4 -25/4 - 15p/4 + 3p2= 0

-15p/4 + 3p2 = 0
3p2 - 15p/4 = 0

3p(p - 5/4) = 0

p = 0 or p = 5/4


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