smithjnana smithjnana
  • 01-04-2020
  • Mathematics
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7 times a number is 8 less than the square of that number. Find the negative solution

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-04-2020

Answer:

x=-1

Step-by-step explanation:

Let x = the number

7x =x^2 -8

Subtract 7x from each side

7x-7x = x^2 -7x -8

0 = x^2 -7x -8

Factor

0 = (x-8) (x+1)

Using the zero product property

x-8 =0     x+1 =0

x=8           x=-1

We want the negative solution x=-1

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