Please help me!! What are the solutions to this equation??

Mathematics

1 answer:

dangina [55]3 years ago

6 0

Answer: -1 and 1

Step-by-step explanation:

i gotchu, no worries!

first, move the constant to the right. then, you calculate that. then change the signs, and simplify the expression. (i can't type out square root signs, so thats why there's no work shown.)

then, evaluate it.

x^2 - 9 = -2^3

next, move the constant to the right.

x^2 - 9 = -8

next, calculate it.

x^2 = -8 + 9

simplify it.

x^2 = 1

finally separate the solutions.

x = 1

x = -1

You might be interested in

David can finish painting the room in six hours and his elder brother Anthony can finish it in four hours if both brothers paint

lbvjy [14]

Answer:

2.4 hours

Step-by-step explanation:

David's time = 6 hours

Anthony's time = 4 hours

the combined time is given by the following formula

1/ (david's time) + 1/(anthony's time) = 1/total time

1/6 + 1/4 = 1/Total

4/24 + 6/24 = 1/Total

10/24 = 1/ total (taking reciprocal of both sides)

24/10 = total

total time = 24/10 = 2.4 hours

5 0

3 years ago

Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.