Question

Find the value of k if x² -k +6, has sum of zeroes
twice its product of zeroes.​

Answer 1

Step-by-step explanation:

Let the roots be α,β

For a quadratic equation ax ^2 +bx+c=0

Sum of roots α+β=k+6⋯(1)

Product of roots αβ=4k−2⋯(2)

According to question,

α+β= 2/αβ

From (1),(2)

⟹k+6=2k−1

⟹k=7

Answer 2

Step-by-step explanation:

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