Question

If alpha and beta are the zeros of the quadratic polynomial x square - 2 X + K, Alpha minus beta is equal to 8, find the value of k

Answer 1

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Answer 2

Answer:

I guess -15 is the answer

Step-by-step explanation:

Given - x²-2x+k=0

alpha-beta = 8

alpha + beta = -b/a. = 2/1

alpha - beta =. c/a. = k/1

alpha + beta = 2. *1

alpha - beta = 8. *2

alpha = 8 + beta

8 + beta + beta = 2

2beta = 2 - 8

beta = -6/2

beta = -3

alpha + beta = 2,

alpha -3 = 2

alpha = 5

alpha × beta = k

5 × -3 = -15

∆ Value of k is -15.