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AnnZ [28]
3 years ago
13

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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The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
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The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

<h3>How to determine the total revenue?</h3>

The demand and the cost functions are given as:

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2 years ago
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