Question

If a.B are the zeros of a quadratic polynomial f(x) =x²- 5x+ k such that a-b=1
find the values of k​

Answer 1

Answer:

HYE

If a and b are the zeroes of the polynomial x2 - 5x + k such that a - b = 1, find the value of k. Asked by Topperlearning User ...

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Answer 2

Answer:

${\huge{Hello Friend!}}$

x2-5x+k. Here, a=1, b=-5 and c=k. Now, α+ β = -b/a= -(-5)/1= 5. α*β = c/a= k/7= k. Now,α - β =1. Squaring both sides, we get,. (α - β)2=12.

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