jee-main 2017 Q61

jee-main · India · 02apr Solving quadratics and applications Optimization or extremal value of an expression via completing the square

If, for a positive integer $n$, the quadratic equation,
$$x(x + 1) + (x + 1)(x + 2) + \ldots + (x + \overline{n-1})(x + n) = 10n$$
has two consecutive integral solutions, then $n$ is equal to:
(1) 12
(2) 9
(3) 10
(4) 11

If, for a positive integer $n$, the quadratic equation,

$$x(x + 1) + (x + 1)(x + 2) + \ldots + (x + \overline{n-1})(x + n) = 10n$$

has two consecutive integral solutions, then $n$ is equal to:\\
(1) 12\\
(2) 9\\
(3) 10\\
(4) 11

Paper Questions

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