Question

The roots of alpha and beta of the quadratic equation x rays to power 2-5x+3(k-1)=0 such that alpha beta=11. Find the value of k

Answer 1

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Answer 2

Answer:

k = 14/3

Step-by-step explanation:

x² - 5x + 3(k-1) = 0

here, a = 1, b= 5, c = 3(k-1)

now alpha beta= 11

but alpha beta = c/a

= 3k-3/1=11

this implies that

3k=11+3

3k = 14

k=14/3