The smallest possible natural number n, for which the equation x^2-nx+2014=0 has integral roots, is

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MARKS Content Team · Accepted Answer

Correct answer: 91. In x^2-nx+2014=0 α+β=n and αβ=2014 Now, αβ=2014=1×2014 or -1×-2014 =2×1007 or -2×-1007 =19×106 or -19×-106 =38×53 or -38×-53 For least possible value, n=α+β =38+53 =91

The smallest possible natural number $n$ , for which the equation $x^{2} - n x + 2014 = 0$ has integral roots, is

Solution

More Quadratic Equation Questions

The smallest possible natural number n, for which the equation x2-nx+2014=0 has integral roots, is

Solution

More Quadratic Equation Questions

The smallest possible natural number $n$ , for which the equation $x^{2} - n x + 2014 = 0$ has integral roots, is