SOLUTION: Please help me and show work Find all real solution 1. square rootx+8 + squarerootx-9 =17 2.x^2/7=2

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Question 591022: Please help me and show work
Find all real solution
1. square rootx+8 + squarerootx-9 =17
2.x^2/7=2

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find all real solution
1. square rootx+8 + squarerootx-9 =17
sqrt%28x%2B8%29+=+17+-+sqrt%28x-9%29
Square both sides
x%2B8+=+289+%2B+%28x-9%29+-+34sqrt%28x-9%29
-272+=+-34sqrt%28x-9%29
sqrt%28x-9%29+=+8
x-9 = 64
x = 73
--------------
2.x^2/7=2
x^2 = 14
x = sqrt(14)
x = -sqrt(14)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find all real solution
1. sqrt(x+8) + sqrt(x-9) = 17
----
Square both sides:
(x+8) + 2*sqrt(x^2-x-72) + x-9 = 289
-----------------------------------
2x-1 + 2*sqrt(x^2-x-72) = 289
-----
2sqrt(x^2-x-72) = 290-2x
------
sqrt(x^2-x-72) = 145 - x
----
Square both sides again:
x^2-x-72 = 21025 - 290x + x^2
289x = 21097
x = 73
==============
Cheers,
Stan H.

2.x^2/7=2