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defon
3 years ago
15

Thirty-five less than the square of a number is the same as 2 times the number. Find the number

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

9514 1404 393

Answer:

  -5  or  7

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

  x^2 -35 = 2x

  x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form

  (x -7)(x +5) = 0 . . . . . factor

  x = 7  or  x = -5 . . . . solutions are values of x that make the factors zero

The number could be either -5 or +7.

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