SOLUTION: The square of a number equals thirty-four times that number. Find the number.

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Question 406009: The square of a number equals thirty-four times that number. Find the number.
Answer by peter_toribio90(6) About Me  (Show Source):
You can put this solution on YOUR website!
The SQUARE of a NUMBER = 34 times that NUMBER.
Algebra basically states that an unknown number may be represented by the letter x.
x%5E2+=+34x
Now since these two terms are equal (definition of equation), transfer the 34x to the other side so that the difference equals zero.
x%5E2+-+34x+=+0
By factoring, we get:
x%28x-34%29+=+0
Applying the quadratic formula,
x+=+0
and
x-34+=+0
Thus leaving the solution set {0,34}
The possible answer is the number 34 itself.