SOLUTION: the square of a number is 1 more then twice the number. what is the number?

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Question 1036289: the square of a number is 1 more then twice the number. what is the number?
Found 3 solutions by Aldorozos, MathTherapy, ikleyn:
Answer by Aldorozos(172)   (Show Source): You can put this solution on YOUR website!
x^2 = 1+2x
This is a quadratic equation. Solving it gives two answers
x=1+sqrt of 2
x=1-sqrt 0f 2

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

the square of a number is 1 more then twice the number. what is the number?
Number:  

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
the square of a number is 1 more then twice the number. what is the number?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 = 

This is a quadratic equation. Solving it gives two roots 

 = ,

 = . 


Both the roots satisfy the condition.


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