the roots of alpha and beta of the quadratic equation x^2 -5x+3(k-1)=0, are such that (alpha-beta=11), find the value of k
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The product of the roots is 3636, and the sum is kk. There are 55 ways to decompose 3636 as a product of positive factors, if order does not count, and an equal number of ways to decompose 3636 as a product of negative factors.
Thus there are 1010 possible values of kk.
Khushias:
just wait a min....wht????
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7
The value of k is 7.....But alpha + beta is -(-5) which is 5.....
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