Mathematics

The equation 2x2 - 3x + k = 0 is satisfied by x = 2; the value of k is :

  1. -2

  2. 2

  3. 4

  4. 3

Quadratic Equations

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Answer

Given,

x = 2 satisfies the equation 2x2 - 3x + k = 0.

∴ 2(2)2 - 3(2) + k = 0

⇒ 2(4) - 6 + k = 0

⇒ 8 - 6 + k = 0

⇒ k + 2 = 0

⇒ k = -2.

Hence, Option 1 is the correct option.

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