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  • 21-10-2019
  • Mathematics
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Solve 2√x=1-√(4x-1).

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  • 22-10-2019

Answer:[tex]x=\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]2\sqrt{x}=1-\sqrt{4x-1}[/tex]

[tex]\sqrt{4x-1}=1-2\sqrt{x}[/tex]

Squaring both sides

[tex]4x-1=1+4x-4\sqrt{x}[/tex]

[tex]4\sqrt{x}=2[/tex]

[tex]\sqrt{x}=\frac{1}{2}[/tex]

squaring both sides

[tex]x=\frac{1}{4}[/tex]

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