seventeen4life123
seventeen4life123 seventeen4life123
  • 24-06-2021
  • Mathematics
contestada

what is the solution to the equation below?
-3 + sqrt 2x - 1 =8​

what is the solution to the equation below 3 sqrt 2x 1 8 class=

Respuesta :

emanshahzadi929
emanshahzadi929 emanshahzadi929
  • 24-06-2021

Answer:

[tex]x=61[/tex]

Step-by-step explanation:

[tex]-3+\sqrt{2x-1} =8[/tex]

[tex]\sqrt{2x-1} -3=8[/tex]

Add 3 to both sides of the equation:

[tex]\sqrt{2x-1}-3+3=8+3[/tex]

[tex]\sqrt{2x-1}=11[/tex]

Solve the square root:

[tex]\sqrt{2x-1}=11[/tex]

[tex]2x-1=11^{2}[/tex]

[tex]2x-1=121[/tex]

[tex]2x-1+1=121+1[/tex] {add 1 to both sides}

[tex]2x=122[/tex]

[tex]x=122/2[/tex]

[tex]x=61[/tex]

hope this helps.......

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