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4x2 – 9 = 0 implies x is equal to ______. -

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Question

4x2 – 9 = 0 implies x is equal to ______.

Options

  • `3/2`

  • `9/4`

  • `-3/2`

  • `±3/2`

MCQ
Fill in the Blanks

Solution

4x2 – 9 = 0 implies x is equal to `underlinebb(±3/2)`.

Explanation:

Given 4x2 – 9 = 0

`\implies` 4x2 = 9

`\implies x^2 = 9/4`

`\implies x = ±sqrt(9/4)` 

`\implies x = ±3/2`

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