All categories

3 years ago

Solve the following equation by identifying all of its roots including any imaginary numbers and multiple roots.

Mathematics

2 answers:

Advocard [28]3 years ago

7 0

I think it equals 4

Sauron [17]3 years ago

5 0

Answer: x = {-1, 1, -i√2, i√2, -3, 4}

Step-by-step explanation:

(x² - 1)(x² + 2)(x + 3)(x - 4)(x+1)=0

Set each factor equal to zero and solve.

x² - 1 = 0 → x² = 1 → x = ±1

x² + 2 = 0 → x² = -2 → x = ± i√2

x + 3 = 0 → x = -3

x - 4 = 0 → x = 4

x + 1 = 0 → x = -1 (note that -1 is a duplicate - solved from the first factor)

You might be interested in

Yuma and Arizona and Las Vegas and Nevada are two driest cities in the United States. Yuma gets the average of 2 2/3 inch of rai

ruslelena [56]

Answer: 6 1/15 inch

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Yuma: 2 2/3 inch of rain
Las Vegas: 4 1/5 inch of rain

So, to obtain the number of the two cities combined we simply have to add both values.

Mathematically speaking

2 2/3 + 4 1/15 = 2 10/15 + 4 1/15 = 6 1/15 inch

The 2 cities combined get an average of 6 1/15 inch of rain each year.

Feel free to ask for more if needed or if you did not understand something.

6 0

2 years ago

Answer for brainlist & extra points! i can see if your answer is correct or not :)

ioda

Answer:

The equation simplifies to n = 7.

Step-by-step explanation:

Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.

To do this, we're going to notice we have two like terms in the equation:

These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.

Left side → 1 term
Right side → 2 terms

We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.

We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.

71 - 1 = 70

This leaves us with a more simplified equation: 70 = 10n.

To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.

Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.

In addition to that, what we do on one side of the equation must be done on the other side of the equation.

$\displaystyle \frac{10n}{10} = \frac{70}{10}$

This simplifies to n = 7, which is our final answer.

8 0

2 years ago

Read 2 more answers

100 points but please don’t post a very useless answers! >:(

Lelu [443]

Answer:

See below.

Step-by-step explanation:

54.

The radius of the small circles is x.

The radius of the large circle is 2x.

Area of large circle:

πr² = π(2x)² = π4x² = 4πx²

Area of 1 small circle:

πr² = πx²

Area of 2 small circles:

2πx²

shaded area = area of large circle - area of 2 small circles

shaded area = 4πx² - 2πx²

shaded area = 2πx²

57.

The radius if the circle is x√2.

The side of the square is 2x.

Area of circle:

πr² = π(x√2)² = 2πx²

Area of square:

s² = (2x)² = 4x²

shaded area = area of circle - area of square

shaded area = 2πx² - 4x² or (2π - 4)x²

7 0

2 years ago

A parabola can be drawn given a focus of (5, 9) and a directrix of y=3. Write the equation of the parabola in any form.

ziro4ka [17]

7373782 okkkk?!!!!!!!!!!!!

6 0

2 years ago

Consider this expression 5/6(1/2x+6)-3x What is the value of the expression evaluated for x=12

just olya [345]

ANSWER

The correct answer is $-26$

EXPLANATION

The expression given to us is,

$\frac{5}{6}( \frac{1}{2}x+ 6)-3x$

We plug in $x=12$ . That means we substitute 12 wherever we see x to obtain,

$\frac{5}{6}( \frac{1}{2}\times 12+ 6)-3\times 12$

We simplify the parenthesis first to obtain,

$=\frac{5}{6}( 6+ 6)-36$

$=\frac{5}{6}( 12)-36$

$=5\times 2-36$

$=10-36$

$=-26$

Hence the expression evaluates to $=-26$

7 0

3 years ago

Read 2 more answers