Question

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Solve this attachment question ​

Answer 1

Hey there!

given α , β are zeroes of the polynomial f ( x).

Also, f ( x ) = x² - x - k.

We know that for a Quadratic polynomial, Sum of roots = - ( Coefficient of x) : Coefficient of x²

So,

α + β = - ( - 1) / 1 = 1

Also,

, from the question.

Solving the both equations, You would get

I +-=5I^2=-4

Now,

We know that,

Product of roots = 5 × - 4 = - 20

But, According to the given equation, Product of roots = - k.

Equating both of them,

-k = - 20

K=20

Therefore, The value of k is 20.

Answer 2

Hey!

sorry! we didn't had our 2nd periodic test yet.