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

Algebra ->  Radicals -> SOLUTION: the square of a number is 1 more then twice the number. what is the number?      Log On


   

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) About Me  (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) About Me  (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: highlight_green%281%29

Answer by ikleyn(52776) About Me  (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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

x%5E2 = 1%2B2x

This is a quadratic equation. Solving it gives two roots 

x%5B1%5D = 1%2Bsqrt%282%29,

x%5B2%5D = 1-sqrt%282%29. 


Both the roots satisfy the condition.