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3 years ago

Why does the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?

1 answer:

3 0

And represents the distance between a and 0 on a number line. Has two solutions x = a and x = -a because both numbers are at the distance a from 0. This holds true for all absolute value inequalities. ... Because by definition, the absolute value of a number is its distance from 0 on a number line which means that there are two such numbers: a positive/negative number

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How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x

Fofino [41]

Answer:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

We are given the function:

$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

$0=x^5+2x^3-3x$

Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

Solving for each case:

$x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}$

Therefore, our real and complex zeros are:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

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2 years ago

What is 29/33 in simplest form

Oduvanchick [21]

29/33 is already in simplest fraction form

29 is a prime number and cannot be simplified more

6 0

3 years ago

Read 2 more answers

D)) What is 39 x 35? ? 3° x 39 =

yan [13]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!

Step-by-step explanation:

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3 years ago

7mm 13mm 4mm surface area

kogti [31]

$342=2[(7*13)+(7*4)+(13*4)]$

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3 years ago

G(x)=x^2+4x Find G(-z)

ivanzaharov [21]

2x^2-4x+2=x+2. 2x^2-4x+2-x-2=0. 2x^2-3x-0=0. use quadratic formula = (-b+- squareroot(b^2-4ac))/2a. so ur a=2 b=-3 c=0. hope this helped

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3 years ago