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Mathematics

The solution set for the quadratic equation 2x2 = 288, is:

  1. {12, 12}

  2. {-12, -12}

  3. {-12, 18}

  4. {-12, 12}

Quadratic Equations

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Answer

Given,

2x2 = 288

⇒2x2=288⇒x2=2882⇒x2=144⇒x=144⇒x=±12⇒x=12 or x=−12.\Rightarrow 2x^2 = 288 \\[1em] \Rightarrow x^2 = \dfrac{288}{2} \\[1em] \Rightarrow x^2 = 144 \\[1em] \Rightarrow x = \sqrt{144} \\[1em] \Rightarrow x = \pm 12 \\[1em] \Rightarrow x = 12 \text{ or } x = -12.

The solution set = {-12, 12}

Hence, option 4 is the correct option.

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