Question

If the sum of the zeroes of the quadratic polynomial k2 + 2y - 3k is equal to twice their product, find the value of k​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Let α and β be the roots of given quadratic equation

x k 6 2 x k2 1 2 − + ^ ^ h h + + = 0

Now sum of roots,. α β +

k

1

6 =−− + ^ h = k + 6

Product of roots, αβ k

1

2 2 1 = ^ h + = 2 2^ h k + 1

According to given condition,

α β + 2

1 = αβ

k + 6 k 2

1 = 6 @ 2 2^ h + 1

k + 6 = 2 1 k + & k = 5

Hence, the value of k is 5.