Question

alpha and beta are the roots of the quadratic polynomial p(x)=x^2-(k+6)x+2(2k-1). find the answer.

Answer 1

Hey dear !!!

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==> In the example

p(x) = x² - (k-6)x + (2k + 1)

We have given that,

α + β = αβ

We have ;

a = 1

b = -(k-6)

c = (2k + 1)

We know that,

α + β = -b/a = -(-k-6) = k - 6

αβ = c/a = 2k+1

According to the given condition ,

α + β = αβ

κ - 6 = 2k + 1

k - 2k = 1 + 6

- k = 7 .........(multiplying by -1 on both side we get)

k = -7

Answer 2

Step-by-step explanation:

k = -7

hope it helps

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