What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve.x = i and x = i 5

X=+ i and x i 5

x=+ -1 and x= + -5

x= -1 and x= + - 5

Answers

Answer 1
Answer:

The solutions of the equation are x=\pm i, x=\pm √(5)i

Explanation:

Given that the equation is x^(4)+6 x^(2)+5=0

We need to determine the solutions of the equation.

Let us substitute x^(2) =u and x^4=u^2

Thus, the equation becomes,

u^(2)+6 u+5=0

Factoring the equation, we get;

(u+1)(u+5)=0

      u=-1, u=-5

Substituting back x^(2) =u and solve for x.

First, we shall substituteu=-1

Thus, we get;

x^(2) =-1

x=√(-1)

x=\pm i

Similarly, substituting u=-5, we get;

x^(2) =-5

x=√(-5)

x=\pm √(5)i

Thus, the solutions of the equation are x=\pm i, x=\pm √(5)i


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What is the ratio of the volume of a cube with a side length of 2 cm to the volume of a cube with a side length of 4 cm?

Answers

Answer:

1:8

Step-by-step explanation:

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=8:64

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Subtract. –56 – (–27.07)

A.
–83.07

B.
–28.93

C.
28.93

D.
83.07

Answers

to solve -56 - (-27.07)  we have to remember that a negative sign in front of another negative sign  will change the sign to a positive and -(-27.07)=27.07
-56+27.07=- 28.93
YOUR CHOICE IS B
-56-(-27.07)
-56+27.07
-28.93


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Figure GHIJ is congruent to figure NOPQ. What pair of angles must be congruent?(PLEASE HELP)!!!

Answers

Angle G is congruent to N, H is congruent to O, I is congruent to P, and J is congruent to Q. The first, second, third, fourth... letters of the figures must be congruent (due to mathematical notation).

What is 80 divided by 10

Answers

80 divided by 10 is 8
80/10=8 because if you take 80 pennies and put them in 10 equal groups, there would be 8 pennies in each group.

Explain why all integers are rational numbers, but not all rational numbers are integers

Answers

all integers can be in a fractional form
while all fractions cant be integers 

1,6,4,6,6,6,3,6


range:

mode:

Answers

Answer:

range=5

mode=6

Step-by-step explanation:

range means the max - min

6-1 = 5

mode means the most frequent number

6

Answer:

Range: 5 Mode: 6

Step-by-step explanation: