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Bothroots of the quadratic equation x^2-63x+k=0 are prime numbers.The number of possible value of k is

vinay Kumar , 8 Years ago
Grade 10
anser 1 Answers
Vikas TU

Last Activity: 8 Years ago

Sum of Roots =>
a + b =  63
Product of roots = k = ab
now sum of roots is odd hece one root would be obvious even and that is even prime number 2.
hence a = 2 and b = 63 – 2 = 61
k = 61 * 2 = > 122
 

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