InterviewSolution
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InterviewSolution
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For real solution of equation `3sqrt(x+3p+1)-3sqrt(x)=1`, we haveA. `p ge 1//4`B. `p ge -1//4`C. `p ge 1//3`D. `p ge -1//3` |
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Answer» Correct Answer - B `(b)` `3sqrt(x+3p+1)=3sqrt(x)+1` Let `3sqrt(x)=h` `implies3sqrt(x+3p+1)=h+1` `impliesx+3p+1=h^(3)+3h^(2)+3h+1` `implies h^(3)+3p+1=h^(3)+3h^(2)+3h+1` `implies3h^(2)+3h-3p=0` `h^(2)+h-p=0` For real roots ` D ge 0` `implies 1+4p ge 0` `implies p ge -1//4` |
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