If two prime number are the roots of the equation $5 X^{2} + - 25 X + a^{2} - a = 0$ then the sum of possible value of a is

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Solution

The correct option is A 1
$5 X^{2} - 25 X + a^{2} - a = 0$
sum of the roots =5
If sum of two prime numbers is add then one of them is 2
2 and 3 are the roots of the equation
$a^{2} - a = 30 a^{2} - a - 30 = 0$
required sum = 1

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