7. For what value of k, the product of the zeros of x² – 3kx + 2k² – 1 is 7?
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Answer:
Irrational
Product of the roots =
1
2k
2
−1
⇒2k
2
−1=7 or k=±2
∴ Equation is x
2
±6x+7=0
D=
36−4×7
=2
2
∴ Roots are irrational.
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