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qwelly [4]
3 years ago
5

 PLEASE HELP 15 points for brainliest! What is the solution of n^2-49=0

Mathematics
2 answers:
creativ13 [48]3 years ago
6 0

Answer:  The correct option are (1). c, (2). d and (3). (b).

Step-by-step explanation:  The calculations are as follows:

(1) We are to find the solution of the following quadratic equation:

n^2-49=0.

We have

n^2-49=0\\\\\Rightarrow n^2=49\\\\\Rightarrow n=\pm7~~~~~\textup{[taking square roots on both sides]}

Thus, the correct option is (c). \pm7.

(2) We are to find the solution of the following quadratic equation:

x^2+64=0.

We have

x^2+64=0\\\\\Rightarrow x^2=-64.

Since there is no real number whose square is negative, so this equation has no solution.

Thus, the correct option is (d). no solution.

(3) We are given to find the side length of a square with an area of 144x².

Let, 'a' denotes the side length of the square.

Then,

a^2=144x^2\\\\\Rightarrow a=\pm12x.~~~~~~~\textup{[taking square root on both sides]}

Since the length of the side cannot be negative, so the side length is 12x.

Thus, (b) is the correct option.

The correct option are (1). c, (2). d and (3). (b).

KonstantinChe [14]3 years ago
6 0
The prior person is incorrect on the first and last ones. #1 should be c +/-7 because a square root can be positive or negative. for #2 it should be b 12x, the guy before must have forgot about the x. if you appreciated my help consider giving me brainliest!

You might be interested in
What is the product of 2X plus 3 and 4X squared minus 5X plus 6
Tju [1.3M]
The product of something means multiplying the terms together.

(2x+3) (4x^2-5x+6)

Secondly you need to distribute the terms to each other (Think of problems like FOIL)

2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6

Then you must take into account that some of the numbers are negative. (minus-plus rules!)

2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6

Now is the tricky part of simplifying everything. 

2x * 4x^2 = 8x^3 

2x * 5x = 10x^2

2x * 6 = 12x

3 * 4x^2 = 12x^2

3 * 5x = 15x

3 * 6 = 18

8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18

Then you group like terms.

8x^3 - 10x^2 + 12x^2 - 3x + 18

8x^2 + 2x^2 - 3x + 18

The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!


5 0
3 years ago
Please help me with the below question.
VMariaS [17]

By letting

y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}

we get derivatives

y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}

y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0

Examine the lowest degree term \left(x^{r-1}\right), which gives rise to the indicial equation,

5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients c_k is

(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}

so that with r = 4/5, the coefficients are governed by

c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}

c) Starting with c_0=1, we find

c_1 = -\dfrac{c_0}5 = -\dfrac15

c_2 = -\dfrac{c_1}{10} = \dfrac1{50}

so that the first three terms of the solution are

\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}

4 0
2 years ago
If f(x) = (2x^3 − 4)^6, then what is f '(x)?
Dominik [7]
The correct answer is:

6(2x^3-4)^5(6x^2)

Explanation:

That is the derivative after you differentiate using the Chain Rule.
4 0
2 years ago
Please help, i really dont understand. will give brainliest.
hoa [83]

Answer:

I've done the math and it's 120, people say it's 120 and online 120, I really wanna help but I just

5 0
3 years ago
Answer help me me me me
Kobotan [32]

Answer:

409

Step-by-step explanation:

296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.

5 0
2 years ago
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