Question

15. 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 is​

Answer 1

Answer:

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Step-by-step explanation:

As `4` is a root of x^2+px+12 = 0,

∴ x = 4 should satisfy the equation.

=>4^2+4p+12 = 0

=>4p = -28

=>p = -7

Now, x^2+px+q has equal roots,

∴ D =0

=> p^2 - 4q = 0

=> (-7)^2 - 4q = 0

=> 4q = 49

=> q = 49/4

Answer 2

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