3 years ago

3 times a number is 54 less than the square of that number. Find the negative solution.

Mathematics

1 answer:

Pavel [41]3 years ago

3 0

Answer:

x=-6

Step-by-step explanation:

Let x be the number

3x = x^2 -54

Subtract 3x

3x-3x = x^2 -3x-54

0 = x^2 -3x-54

Factor

What 2 numbers multiply to -54 and add to -3

-9*6 = -54

-9+6 = -3

0=(x-9) (x+6)

Using the zero product property

x-9=0 x+6=0

x=9 x=-6

The questions asks for the negative solution

x=-6

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