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3 years ago

What is the easiest method to solve this equation?

Mathematics

2 answers:

Gennadij [26K]3 years ago

4 0

Using the quadratic equation would be the easiest

Kryger [21]3 years ago

4 0

Answer: C (Quadratic Formula)

Explanation:

No reason really. No way to factor by using “nice” numbers. Isolating the variable (e.g. completing the square) gives us “complicated” fractions. It therefore can’t be D. The answer is C

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one person can do a certain job in 15 minutes and the another person can do the same job in 30 minutes. How many minutes will it

Artemon [7]

15 minutes because the one that will finish faster will do it

3 0

4 years ago

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section

lisabon 2012 [21]

Answer:

$\therefore y_2(x)=-\frac{e^{-6x}}{8}$

The general solution is

$y=c_1e^{2x}-c_2.\frac{e^{-6x}}{8}$

Step-by-step explanation:

Given differential equation is

y''-4y'+4y=0

and $y_1(x)=e^{2x}$

To find the $y_2(x)$ we are applying the following formula,

$y_2(x)=y_1(x)\int \frac{e^{-\int P(x) dx}}{y_1^2(x)} \ dx$

The general form of equation is

y''+P(x)y'+Q(x)y=0

Comparing the general form of the differential equation to the given differential equation,

So, P(x)= - 4

$\therefore y_2(x)=e^{2x}\int \frac{e^{-\int 4dx}}{(e^{2x})^2}dx$

$=e^{2x}\int \frac{e^{-4x}}{e^{4x}}dx$

$=e^{2x}\int e^{-4x-4x} \ dx$

$=e^{2x}\int e^{-8x} \ dx$

$=e^{2x}. \frac{e^{-8x}}{-8}$

$=-\frac{e^{-6x}}{8}$

$\therefore y_2(x)=-\frac{e^{-6x}}{8}$

The general solution is

$y=c_1e^{2x}-c_2.\frac{e^{-6x}}{8}$

4 0

3 years ago

I have one dozen eggs and I discover hot only 1/3 of the broken and I need use 1/6 how many I have left

zhenek [66]

Answer:

$X=2$

Step-by-step explanation:

From the question we are told that:

Total eggs $n=12$

Broken eggs $n_b=1/3n=4$

Used eggs $n_u=1/6n=2$

Generally the equation for amount of eggs left X is mathematically given by

$12=X+n_b+n_u$

$12=X+4+2$

$X=\frac{12}{6}$

$X=2$

6 0

4 years ago

Factor completely 2x^3+6x^2+10x+30

beks73 [17]

Answer:

2(x+3) (x^2 + 5)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Use Newton''s method to find the second and third approximation of a root of x^3 + x + 3= 0 starting with x1 = -1 as the initial

BARSIC [14]

9514 1404 393

Answer:

see attachment

Step-by-step explanation:

The iterator for Newton's method gives the next approximation (x') as ...

x' = x -g(x)/g'(x) . . . . . where g'(x) is the derivative of g(x)

We have defined g(x) = x^3+x+3, the function we want the zero of. We have defined the iteration function to be f(x).

<em>Additional comment</em>

Modern graphing calculators not only make the iteration trivially simple, they also give a first approximation good to 2 or 3 decimal places in many cases.

7 0

4 years ago