2x^2-5x+k=0 one root is 7/2 than find the value of k
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answer for the given problem is given
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here
- a = 2
- b= -5
- c=1
let alpha be the one of the roots which is equal to 7/2 and beta be another
sum of the roots = alpha + beta = -b/a
7/2 + beta = -(-5)/2
beta = 5/2 -7/2
beta = -2/2
beta = -1
and
product of roots = alpha × beta = c/a
7/2 (-1) = k/2
k= -7
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