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Popular Algebra >

2sqrt(x^2-a^2)=4x-2a

Solution

2 x^{2} - a^{2} = 4 x - 2 a

Solution

No Solution for x \in R

Solution steps

2 x^{2} - a^{2} = 4 x - 2 a

Square both sides:

4 x^{2} - 4 a^{2} = 16 x^{2} - 16 a x + 4 a^{2}

4 x^{2} - 4 a^{2} = 16 x^{2} - 16 a x + 4 a^{2}

Solve

4 x^{2} - 4 a^{2} = 16 x^{2} - 16 a x + 4 a^{2} : x = \frac{2 a}{3} + i \frac{2 a}{3}, x = \frac{2 a}{3} - i \frac{2 a}{3}

x = \frac{2 a}{3} + i \frac{2 a}{3}, x = \frac{2 a}{3} - i \frac{2 a}{3}

Remove complex solutions:

x = \frac{2 a}{3} + i \frac{2 a}{3}, x = \frac{2 a}{3} - i \frac{2 a}{3}

No Solution for x \in R

Graph

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Frequently Asked Questions (FAQ)

What is the answer to 2sqrt(x^2-a^2)=4x-2a ?
The answer to 2sqrt(x^2-a^2)=4x-2a is No Solution for x\in\mathbb{R}

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