SOLUTION: Please help me solve: x^2=8x-5

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Question 628977: Please help me solve:
x^2=8x-5
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve:
x^2=8x-5
==========
x%5E2+-+8x+%2B+5+=+0
Use the quadratic eqn, or complete the square.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
    
         x² = 8x - 5

Get 0 on the right:

x² - 8x + 5 = 0

That doesn't factor so we have to use the quadratic formula:

a = 1, b = -8, c = 5

x = %28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29 

x = %28-%28-8%29+%2B-+sqrt%28+%28-8%29%5E2-4%2A%281%29%2A%285%29+%29%29%2F%282%2A%281%29%29+ 

x = %288+%2B-+sqrt%2864-20+%29%29%2F2+

x = %288+%2B-+sqrt%2844+%29%29%2F2+

x = %288+%2B-+sqrt%284%2A11+%29%29%2F2+

x = %288+%2B-+sqrt%284%29sqrt%2811+%29%29%2F2+

x = %288+%2B-+2sqrt%2811+%29%29%2F2+

x = %282%284+%2B-+sqrt%2811%29+%29%29%2F2+

x = %28cross%282%29%284+%2B-+sqrt%2811%29+%29%29%2Fcross%282%29+
         __ 
x = 4 ± Ö11

Two solutions:
         __              __ 
x = 4 + Ö11 and x = 4 - Ö11

Edwin