ArieonO641 ArieonO641
  • 29-10-2022
  • Mathematics
contestada

Solve the equation using square roots. X^2 + 5 = 41

Solve the equation using square roots X2 5 41 class=

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DarilynV111705 DarilynV111705
  • 29-10-2022

Given: The equation below

[tex]x^2+5=41[/tex]

To Determine: The value of x using square roots

Solution

Step1: subtract 5 from both sides

[tex]\begin{gathered} x^2+5-5=41-5 \\ x^2=36 \end{gathered}[/tex]

Step 2: Take square roots of both sides

[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt[]{36} \\ x=\pm6 \end{gathered}[/tex]

Hence, the solution of equation using square root is ±6

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