What are the real and complex solutions of the polynomial equation x^3-8=0

Answers

Answer 1

Answer: this is a difference of two cubes equation. To solve it, use this formula:

(a^3-b^3) = (a-b)(a^2+2ab+b^2)

or

x^3-8 = (x-2)(x^2+4x+4)

Answer 2

Answer: x³ - 8 = 0

x³ = 0 + 8

x³ = 8

Take the cube root of both sides

∛x³ = ∛8

∛(x*x*x) = ∛(2*2*2)

x = 2

Hope this helps.

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What is the solution to the following equation? -32-8x=-7x+8(8x-4)
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Which is larger, 7/10 or 3/4?

Answers

3/4 is larger than 7/10.

3/4 is larger if you simply by fraction form :) Thats what we learned in school

Choose values for a and b and use them to verify the product shown.(5a + b)(a – 6b) = 5a2 – 29ab – 6b2

Answers

just make a=2 and b=3
(5(2)+3)(2-6(3))=5(2)^2-29(2)(3)-6(3)^2
(10+3)(2-18)=5(4)-29(6)-6(9)
(13)(-16)=20-174-54
-208=-208
correct

Which value is equivalent to 15.2% written as a decimal

Answers

$p\%=(p)/(100)\n\n\n15.2\%=(15.2)/(100)=0.152$

13 is 40% of what number

Answers

translate
percent means parts out of 100 so 40%=40/100=0.4
'of' means multiply

13 is 40% of what
13=0.4 times what
divide both sides by 0.4
32.5=what

the number is 32.5

Its 32.5. How I got this answer is you would usually multiply 'that number' by 40%, but since we don't know it we divide 13 divided by 0.4(40% in decimal form) and that gives you 32.5. And to check your answer you do 32.5 multiplied by 0.4 to get 13.

Can anyone help quickly.. explanation is not necessary but would be appreciated, I struggle with this topic and would like to understand it a little bit.

Answers

Answer:

38.68 degrees

Step-by-step explanation:

In this equation you are trying to find the degrees using the hypotenuse and opposite. So you have to use the function sin^-1(5/8). Because when using Sin it is opposote ove hypotenuse.

What fraction of 60 is 20

Answers

The value of fraction will be 1/3.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

''A fraction of 60 is 20.''

Now,

Let the value of fraction = x

So, We can formulate;

⇒ x of 60 = 20

⇒ x × 60 = 20

⇒ x = 20/60

⇒ x = 2/6

⇒ x = 1/3

Thus, The value of fraction = 1/3