Both roots of the quadratic equation $x^{2} - 63 x + k = 0$ are prime numbers. The number of possible values of $k$ is

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Solution

The correct option is B $1$
$α + β = 63$
Sum of two prime is odd only when one prime no. is $2$ . So there is only one possible value of $K$ .

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Both roots of the quadratic equation x2−63x+k=0 are prime numbers. The number of possible values of k is

The correct option is B 1α+β=63Sum of two prime is odd only when one prime no. is 2. So there is only one possible value of K.

Both roots of the quadratic equation $x^{2} - 63 x + k = 0$ are prime numbers. The number of possible values of $k$ is

The correct option is B $1$
$α + β = 63$
Sum of two prime is odd only when one prime no. is $2$ . So there is only one possible value of $K$ .