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Find unknown coefficient from given quadratic equation

The value of k for which the one root of the equation \(3x^2+7x+6-k=0\) is equal to zero is
  1. k=3
  2. k=6
  3. k=2
  4. k=-5

1 Answer


Solution: 

Let α and β be two roots.

Then one root (α) = 0, [Given]

So, \(\alpha\beta=0,\;\frac ca=0\;or,\frac{6-k}3=0\)

∴ k = 6

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