Question

For what the value of k the zeros of polynomial x square - 5 x + k are differ by one

Answer 1

Answer:

k = 6

Step-by-step explanation:

let one zero of this polynomial be 'α'

the sum of roots of a quadratic equation is given by -b/a

⇒α+(α+1) = -(-5)/1 = 5

⇒2α= 4

⇒ α = 2

the product of roots of a quadratic polynomial is given by c/a

α (α+1) = k/1

⇒ 2(2+1) = k

⇒ k = 6

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Answer 2

Answer:

6

Step-by-step explanation:

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