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Mathematics

If -3 is a root of the quadratic equation kx2 + 2x - 3 = 0, then the value of k is

  1. 1

  2. -1

  3. 19\dfrac{1}{9}

  4. 19-\dfrac{1}{9}

Quadratic Equations

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Answer

If -3 is a root of the quadratic equation kx2 + 2x - 3 = 0, then it will satisfy the equation.

⇒ k(-3)2 + 2(-3) - 3 = 0

⇒ k(9) - 6 - 3 = 0

⇒ 9k - 9 = 0

⇒ 9k = 9

⇒ k = 1.

Hence, Option 1 is the correct option.

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