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Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.

The square root of the quantity 11 x plus 5 end quantity equals 7.

Respuesta :

Answer:

see explanation

Step-by-step explanation:

[tex]\sqrt{11x+5}[/tex] = 7 ( square both sides )

11x + 5 = 7² = 49 ( subtract 5 from both sides )

11x = 44 ( divide both sides by 11 )

x = 4

substitute x = 4 into the left side of the equation and if equal to the right side , then it is the solution.

[tex]\sqrt{11(4)+5}[/tex] = [tex]\sqrt{44+5}[/tex] = [tex]\sqrt{49}[/tex] = 7 ← equals right side

then x = 4 is the solution

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