Find all solutions of the equation algebraically. Check your solutions. (Enter your answers as a comma-separated list x^4-7x^2-144=0

Answers

Answer 1
Answer:

Answer:

The solutions are:x=4,\:x=-4,\:x=3i,\:x=-3i

Step-by-step explanation:

Consider the provided equation.

x^4-7x^2-144=0

Substitute u=x^2\mathrm{\:and\:}u^2=x^4

u^2-7u-144=0

u^2-16u+9u-144=0

(u-16)(u+9)=0

u=16,\:u=-9

Substitute back \:u=x^2 and solve for x.

x^2=16\nx=√(16)\n \quad x=4,\:x=-4

Or

x^2=-9\nx=√(-9)\n \quad x=3i,\:x=-3i

Hence, the solutions are:x=4,\:x=-4,\:x=3i,\:x=-3i

Check:

Substitute x=4 in provided equation.

4^4-7(4)^2-144=0

256-112-144=0

0=0

Which is true.

Substitute x=-4 in provided equation.

(-4)^4-7(-4)^2-144=0

256-112-144=0

0=0

Which is true.

Substitute x=3i in provided equation.

(3i)^4-7(3i)^2-144=0

81+63-144=0

0=0

Which is true.

Substitute x=-3i in provided equation.

(-3i)^4-7(-3i)^2-144=0

81+63-144=0

0=0

Which is true.


Related Questions

Pls help I will fail 10th grade
|-9×+7|+8 is less than or equal to 9​
In art class students are mixing blue and red paint to make purple paint. Cai mixes 5 cups of blue paint and 6 cups of red paint. Casho mixes 2 cups of blue paint and 3 cups of red paint. Use Cai and Casho’s percent of blue paint to determine whose purple paint will be bluer.
Four family members compared their ages. Terell is 3 years younger than Danny. Danny is 1 year younger than Pablo. Pablo's age is 1/3 Shaniqua's age. How old is Terell if Shaniqua is 36 years old?The picture below is wrong so don't say this you little l=UCK.
A study was conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results: weight gain over a 2 year period (kgs) = 4.5 + 0.25(servings of soda per day) what is the predicted weight gain over a 2 year period for someone that drinks 4 servings of soda per day?

Find the volume o the sphere.

Answers

Answer:

The volume of sphere is 267.95 units³.

Step-by-step explanation:

Given that the formula of volume of sphere is V = 4/3×π×r³ where r represents radius. Then, you have to substitute the values into the formula :

v =  (4)/(3)  * \pi *  {r}^(3)

let \: r = 4

v =  (4)/(3)  * \pi *  {4}^(3)

v =  (4)/(3)  * \pi * 64

v =  (256)/(3)  * 3.14

v = 267.95 \:  {units}^( 3)

V=4/3πr^3
= 4/3 x π x 4^3
= 268.08
= 85.33 π
~ 300 units ^3

A bridge in the shape of a parabolic arch is modelled by this function (see pic).

Answers

Answer:

(C) 25,35 and 175,35

What is the pattern in the values as the exponents increase?

Answers

as the exponents increase, the value is multiplied by 2

Factor of this expression 3X + 21 IS​

Answers

The answer is: 3 (x + 7)

Explanation:

3 can go into 3x one time.
3 can go into 21 seven times.

Therefore when factorized it is written as:

3 (x + 7)

Answer:

3 (x + 7)

Step-by-step explanation:

3 can go into 3x one time.

3 can go into 21 seven times.

Therefore when factorized it is written as:

3 (x + 7)

Simplify.(3x2−2x+2)−(x2+5x−5)




4x2+3x−3

2x2−7x+7

2x2−3x−3

2x2+3x−3

Answers

Answer:

2x2+3x-3

Step-by-step explanation:

The first thing you want to do is find all the X2"s and add those together and that looks like this 3x2+(-x2) which would be 2x2. Then you want to find all of the x's and add them together which looks like this -2x+5x which is 3x. Then you find all the whole numbers without a variable and that's 2-5 which equals to be -3.

Final answer:

To simplify the given expression, rewrite it without parentheses changing the signs of the terms being subtracted. Then, combine like terms. The simplified expression is 2x² - 7x + 7.

Explanation:

To solve this problem, we must subtract the terms in the second parenthesis from the corresponding terms in the first.

Step 1: First, we rewrite the expression without parentheses, changing the signs of the terms in the second set of parentheses because it is being subtracted:
3x² - 2x + 2 - x² - 5x + 5

Step 2: Next, we collect and combine like terms.
3x² - x² - 2x - 5x + 2 + 5 = 2x² - 7x + 7

Thus, the simplified expression is 2x² - 7x + 7.

Learn more about Expression Simplification here:

brainly.com/question/35063119

#SPJ2

The equation (logx)^-4logx-5=0 has the solution:A) x=1/10
B)x=1/100000
C)x=1000
D) No solution

Answers

Is the problem right on here