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

The solutions are:

Step-by-step explanation:

Consider the provided equation.

Substitute

Substitute back and solve for x.

Or

Hence, the solutions are:

Check:

Substitute x=4 in provided equation.

Which is true.

Substitute x=-4 in provided equation.

Which is true.

Substitute x=3i in provided equation.

Which is true.

Substitute x=-3i in provided equation.

Which is true.

## Related Questions

Find the volume o the sphere.

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=4/3πr^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).

(C) 25,35 and 175,35

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

as the exponents increase, the value is multiplied by 2

Factor of this expression 3X + 21 IS​

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)

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

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.

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.