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Question

If α,β are the zeroes of the quadratic polynomial x25x+k where αβ=1, find the value of k.

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Solution

Given if αβ are zeroes of quadratic polynomial
f(x)=x25x+k (1)
& αβ=1
& αβ=5 & αβ = k
we know (α+β)2(αβ)2=4αβ
251=4αβ
αβ=244=6
value of k = αβ=6.

1215396_1368910_ans_68cd36390fe7411f90c5d78d31937043.JPG

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