An algebra problem by Ossama Ismail

Algebra Level 1

If x x is a real number satisfying the equation, x ≠ 0 x \neq 0 . 2 x = x 2 \sqrt {2x} = \frac{x}{2} Find the value of x x .?


The answer is 8.

Ossama Ismail by Ossama Ismail , 63, Egypt

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1 solution

2 x = x 2 \sqrt{2x} = \frac{x}{2}

Squaring both sides of the equation, we obtain

2 x = x 2 4 2x = \frac{x^2}{4}

Cross-multiplying, we obtain

8 x = x 2 8x = x^2

Dividing both sides of the equation by x x , we obtain

8 = x 8 = x

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