Relation between Roots and Coefficients for Quadratic
If a root of ...
Question
If a root of the equation x2+px+12=0 is 4, while the roots of the equation x2+px+q=0 are same, then the value of q will be
A
4
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B
4/49
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C
49/4
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D
None of these
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Solution
The correct option is C 49/4 Let's put x=4inx2+px+12=0, which gets us p=−7 Now second equation x2+px+q=0 have equal roots. Let the root be r. Sum of roots: r+r=−p, Product of roots: r2=q Therefore p2=4q⇒q=494