Question

if one zero of the polynomial x square minus 8 x + k exceeds other by 2 find the value of k

Answer 1

the value of k is 211

Answer 2

Answer:

k = 15

Here is the Step-by-step explanation:

so given : we have two zeroes and one of them exceeds the other by two

                let us take the two zeroes as : α = n and  β = 2+n

also, p(x) = x^2 - 8x + k

Solution : by using our formulas

α + β = - b / a

n + 2 + n = -(-8) / 1 = 8

thus, 2n + 2 = 8

2n = 6

n = 3 .. (i)

now using the 2nd formula,

α * β = c/a

n(n+2) = k/1

n^2 + 2n = k

substituting the value of n from i

3^2 + 2(3) = k

9 + 6 = k

15 = k

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