addinbernier
contestada

ASAP Please Help! I need to show all the work. IM really confused. Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

square root of the quantity x minus 2 end quantity plus 8 equals x

Respuesta :

zack28030

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Answer: x=11

Explanation: See below!

I hope this helped!

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- Zack Slocum

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mhanifa

Answer:

  • x = {6, 11}

Step-by-step explanation:

[tex]\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11[/tex]