KamiS435090 KamiS435090
  • 28-10-2022
  • Mathematics
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Solve for the equation.[tex] \sqrt{4x + 1} = \sqrt{x + 10} [/tex]

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PaxonQ9109 PaxonQ9109
  • 28-10-2022

Given the equation:

[tex]\sqrt[]{4x+1}=\sqrt[]{x\text{ + 10}}[/tex]

Squaring both terms:

[tex]4x\text{ + 1 = x + 10}[/tex]

Grouping similar terms:

[tex]\begin{gathered} 4x\text{ - x = 10 - 1} \\ 3x\text{ = 9} \end{gathered}[/tex]

Dividing both sides:

x = 3

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