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2x-6=3^(2)(sqrt6)

2x−6=32(6) 2 x-6=3^{2}(\sqrt{6})

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Full solution

Q. 2x−6=32(6) 2 x-6=3^{2}(\sqrt{6})
  1. Simplify right side: First, simplify the right side of the equation by calculating 323^2.\newline32=93^2 = 9
  2. Multiply by 6\sqrt{6}: Now, multiply 99 by 6\sqrt{6}.\newline9×6=969 \times \sqrt{6} = 9\sqrt{6}
  3. Rewrite equation: Rewrite the equation with the simplified right side.\newline2x−6=962x - 6 = 9\sqrt{6}
  4. Add 66 to isolate: Add 66 to both sides to isolate the term with xx on one side.\newline2x=96+62x = 9\sqrt{6} + 6
  5. Divide by 22: Divide both sides by 22 to solve for xx.x=96+62x = \frac{9\sqrt{6} + 6}{2}

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