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Question: If one root of the equation x<sup>2</sup> + px + 12 = 0 is 4 while the equation x<sup>2</sup> + px +...

If one root of the equation x2 + px + 12 = 0 is 4 while the equation x2 + px + q = 0 has equal roots, the value of q =

A

494\frac{49}{4}

B

4

C

3

D

12

Answer

494\frac{49}{4}

Explanation

Solution

4 is root of x2 + px + 12 = 0

\ 16 + 4p + 12 = 0

4p = – 28

p = – 7

x2 + px + q = 0 have equal roots

\ p2 – 4q = 0

49 – 4q = 0

q = 494\frac{49}{4}