Question

pls with full procedure and question is from 10th class​

Answer 1

Step-by-step explanation:

GIVEN:-

=>α and β are zeroes of f(x) = x2 ‒ 5x + k and α – β = 1

TO FIND:-

=>The value of k.

UNDERSTANDING THE CONCEPT:-

According to the question,

=>We know that, α + β = Sum of zeros = -(coefficient of x)/(coefficient of x2) = 5

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As we know that,

α β = Product of zeros = (constant term)/(coefficient of x2) => k Now solving α – β = 1 and α + β = 5,

we get: α = 3 and β = 2 Again,

α β = k (putting value of α and β)

k = 6.

Therefore, The value of k is 6.

Answer 2

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GIVEN:-

=>α and β are zeroes of f(x) = x2 ‒ 5x + k and α – β = 1

TO FIND:-

=>The value of k.

UNDERSTANDING THE CONCEPT:-

According to the question,

=>We know that, α + β = Sum of zeros = -(coefficient of x)/(coefficient of x2) = 5

As we know that,

α β = Product of zeros = (constant term)/(coefficient of x2) => k Now solving α – β = 1 and α + β = 5,

we get: α = 3 and β = 2 Again,

α β = k (putting value of α and β)

k = 6.

Therefore, The value of k is 6.