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  • If one root of the equation x2 + px + 12 = 0 is 4, while the equation x2 + px + q = 0 has equal roots, then the value of ‘q’ is<div class='qna-option

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

Option: 1

49/4


Option: 2

4


Option: 3

3


Option: 4

12


Answers (1)

best_answer

One root of the equation x2 + px + 12 = 0 is 4 and \alpha be the another root

\alpha \cdot 4=12\Rightarrow \alpha =3  and \alpha+4=p\;\;\;\Rightarrow p=7

the equation x2 + px + q = 0 has equal roots,

\sqrt{p^2-4q}=0 \\\\ p^2=4q \;\; \Rightarrow q=\frac{49}{4}

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himanshu.meshram

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