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mr Goodwill [35]
3 years ago
13

What are the real or imaginary solutions of the polynomial equation x^4-52x^2+576?

Mathematics
2 answers:
klemol [59]3 years ago
5 0
The roots of the polynomial for this case will be x1 = 6, x2 = -6, x3 = 4, x4 = -4.You can solve the polynomial using the resolver after making the variable change u = x ^ 2 so that you have a second degree polynomial. Then return the change to find the missing roots. Attached solution.

jasenka [17]3 years ago
3 0

Answer:

x=-6,-4,4,6.

Step-by-step explanation:

We have been given an equation x^4-52x^2+576=0. We are asked to find the real or imaginary solutions of the given equation.

First of all, we will substitute u=x^2 in our given equation as:

(x^2)^2-52x^2+576=0

(u)^2-52u+576=0    

Now, we  will solve for u as:

u^2-36-16u+576=0

u(u-36)-16(u-36)=0

(u-36)(u-16)=0

u-36=0\text{ (or) }u-16=0

u=36\text{ (or) }u=16  

Now, we will undo substitution as:

x^2=36\text{ (or) }x^2=16

x=\pm\sqrt{36}\text{ (or) }x=\pm\sqrt{16}

x=\pm6\text{ (or) }x=\pm\sqrt4

Therefore, the solutions of our given equation are x=-6,-4,4,6.

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<h2> √(x2-x1)^+(y2-y1)^</h2>

<h2>= √(2-1)^+(-3-2)^</h2><h2>= √(1)^+(-5)^ [here square root and </h2><h2> square get cancelled]</h2><h2>= (1)+(-5)</h2><h2>= 1-5</h2><h2>= - 4</h2>
6 0
3 years ago
Which of the following statements is true? A. Congruent angles have the same measure. B. Congruent angles are complementary. C.
sesenic [268]

Answer:

A. Congruent angles have the same measure.

Step-by-step explanation:

In geometry, 2 objects are congruent if they have the same shape. As such, congruent angles are formed from such shapes. Irrespective of the unit of measurement (in degrees or radians), congruent angles are equal.

This is independent of the direction of the angles.

Hence the right option is

A. Congruent angles have the same measure.

3 0
3 years ago
$16 is to 116.1 as what amount is to 178.4 ?
Nat2105 [25]
The answer would be $78..
3 0
3 years ago
When it hatches from its egg, the shell of certain crab is 1cm across. When fully grown the shell is approximately 10cm across.
inn [45]
Well every time it gets rid of a shell it grows 1 1/3 times larger. So so to see how much it grows after the first time you say
1 cm * 1 1/3 = 1 1/3 cm

to get the next one you do the same
1 1/3 cm * 1 1/3 cm = 16/9

It will keep going multiplying by 1 1/3. So so we can say in an equation that the
(initial size) * 1 1/3 *(number of shells) = length

Or 1cm * 1 1/3 * n = L

We we know the final length is 10cm

So 1 1/3 * n = 10cm

n = 7.5shells

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8 0
3 years ago
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con
marusya05 [52]

Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force F applied to an object with mass m is directly proportional to its acceleration a:

F=ma (1)

If we isolate a:

a=\frac{F}{m} (2) This means the acceleration of the object varies inversely with its mass

Now, we are given the following data to calculate a constant force using (1):

m_{1}=4 kg

a_{1}=5 m/s^{2}

F=m_{1}a_{1} (3)

F=(4 kg)(5 m/s^{2) (4)

F=20 N (5)

If we apply this same force calulated in (4) in another object with an acceleration of a_{2}=2 m/s^{2}, its mass m_{2} will be:

F=m_{2}a_{2} (6)

20 N=m_{2}2 m/s^{2} (7)

Finding  m_{2}:

m_{2}=10 kg This is the mass of the object

4 0
3 years ago
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