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Bess [88]
3 years ago
15

The equation x^2-9=0 has how many real solutions

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

So remember that the <u>degree of the polynomial will indicate how many solutions there are, real or complex.</u> Since the degree of the polynomial is 2, this means that there is a maximum of 2 real solutions in this equation.

Next, we are going to apply the difference of squares rule to this polynomial, which is x^2-y^2=(x+y)(x-y) . In this case:

x^2-9=(x+3)(x-3)\\(x+3)(x-3)=0

Now, we are going to apply the Zero Product Property, which states that if a × b = 0, this means that either a or b = 0 or a and b = 0. In this case, a = x + 3 and b = x - 3. Solve each as such:

x+3=0\\x=-3\\\\x-3=0\\x=3

<u>In short, there are 2 real solutions: x = 3 and x = -3.</u>

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Simplify the following;<br><br> 8v + w + 7 - 8v + 2w<br> 4c² + 6c - 3c² - 2c - 3<br><br> Thanks!
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Answer:

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Step-by-step explanation:

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3w+7

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3 years ago
Simplify a with the power of 0
nydimaria [60]
A ^ 0 = 1.

This is the final solution.
3 0
3 years ago
me. Ford's kitchen is in the shape of a rectangle with a width of 12.25 feet. She is buying a wallpaper border to go on all of h
Furkat [3]

Answer:

The length of Ms. Ford's kitchen is 57.5 feet.

Step-by-step explanation:

1. You have the following information given in the problem above:

- The kitchen is rectangular.

- Ms. Ford wants to buy 5 extra feet of wallpaper border.

- She buys a total of 62.5 feet of wallpaper border.

2. Therefore, to calculate the length of Ms. Ford's kitchen, you only need to substract 62.5 feet and the 5 extra feet of wallpaper border. Therefore, the result is:

62.5ft-5ft=57.5ft


8 0
3 years ago
In the number 340.79 , the 0 is in what place
kirill115 [55]

Answer:

units

Step-by-step explanation:

The zero (0) is in the units place.  unit = 1

4 0
3 years ago
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