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3 years ago

How do you do x ^4-4? What is the x values?

1 answer:

3 0

We know that
A difference of two perfect squares (A² - B²) can be factored into (A+B) • (A-B)
 then
x ^4-4--------> (x²-2)*(x²+2)
(x²-2)--------> (x-√2)*(x+√2)
x1=+√2
x2=-√2

the other term
(x²+2)=0-> x²=-2-------------- x=(+-)√-2

i is called the imaginary unit. It satisfies i² =-1
Both i and -i are the square roots of -1
√ -2 =√ -1• 2 = √ -1 •√ 2 =i • √ 2 
The equation has no real solutions. It has 2 imaginary, or complex solutions.
x3= 0 + √2 i
x4= 0 - √2 i 

the answer is

the values of x are
x1=+√2
x2=-√2
x3= 0 + √2 i
x4= 0 - √2 i

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I NEED HELP FAST!!!!!!!!!! ⦁ Solve the equation. Describe the solution to the equation as one solution, no solution, or an infin

g100num [7]

$\frac{1}{8} (x + 24) = \frac{5}{8} x + 9 - \frac{1}{2} x \\ \\ \frac{x + 24}{8} = \frac{5}{8} x + 9 - \frac{1}{2} x \ / \ simplify \\ \\ \frac{x + 24}{8} = \frac{5x}{8} + 9 - \frac{1}{2} x \ / \ simplify \\ \\ \frac{x+ 24}{8} = \frac{5x}{8} + 9 - \frac{x}{2} \ / \ simplify \\ \\ \frac{x + 24}{8} = \frac{x}{8} + 9 \ / \ simplify \\ \\ x + 24 = x + 72 \ / \ multiply \ each \ side \ by \ 8 \\ \\ 24 = 72 \ / \ cancel \ x \\ \\ no \ solution \\ \\$

The final result is: no solution.

7 0

3 years ago

Read 2 more answers

Find the volume of the composite figure. Round your answer to the nearest hundredth

pishuonlain [190]

Answer:

The volume of the figure is 590.71 mm³

Step-by-step explanation:

To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 3.65mm

π = 3.14

r = radius = 3.2mm

v = (π * r²) * h

we replace the unknowns with the values we know

v = (3.14 * (3.2mm)²) * 3.65mm

v = (3.14 * 10.24mm²) * 3.65mm

v = 32.1536² * 3.65mm

v = 117.36mm³

To calculate the volume of a rectangular prism we have to use the following formula:

v = volume

w = width = 14.23mm

l = length = 10.08mm

h = height = 3.3mm

v = w * h * l

we replace the values that we know

v = 14.23mm * 10.08mm * 3.3mm

v = 473.347mm³

we add the volumes

v = 117.36mm³ + 473.347mm³

v = 590.707

round to the neares hundredth

v = 590.707 mm³ = 590.71 mm³

The volume of the figure is 590.71 mm³

3 0

3 years ago

What is 1/6 times 1/6

Murljashka [212]

1/6* 1/6. Multiply the top number and the bottom numbers and you have 1/36.

5 0

3 years ago

Read 2 more answers

Pre-Algebra Due now Please help, thank you

slamgirl [31]

Answer:

1. The $\sqrt{10}$ is between 3 and 4.

2. The $\sqrt{54}$ is between 7 and 8.

3. The $\sqrt{18}$ is between 4 and 5.

4. The $\sqrt{99}$ is between 9 and 10.

5. The $\sqrt{41}$ is between 6 and 7.

Step-by-step explanation:

1. $\sqrt{10}$ : 10 is near the perfect squares 9 and 16, which would mean its answer is between their square roots which are 3 and 4.

2. $\sqrt{54}$ : 10 is near the perfect squares 49 and 64, which would mean its answer is between their square roots which are 7 and 8.

3. $\sqrt{18}$ : 10 is near the perfect squares 16 and 25, which would mean its answer is between their square roots which are 4 and 5.

4. $\sqrt{99}$ : 10 is near the perfect squares 81 and 100, which would mean its answer is between their square roots which are 9 and 10.

5. $\sqrt{41}$ : 10 is near the perfect squares 36 and 49, which would mean its answer is between their square roots which are 6 and 7.

8 0

2 years ago

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used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a square, but now it

Sergio [31]

Answer:

I used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?

Step-by-step explanation:

6 0

3 years ago