Identify all real roots of the equation: x^4 - 9x^2 + 20 = 0. please show work

1 answer
Question:

identify all real roots of the equation: x^4 - 9x^2 + 20 = 0. please show work

Answers

we need to factoruse u subsitutionu=x²we getu²-9u+20=0factorwhat  2 numbers multiply to get 20 and add to get -9-4 and -5(u-4)(u-5)=0u=x²(x²-4)(x²-5)=0factor again(x-2)(x+2)(x-√5)(x+√5)=0set equal to zerox-2=0x=2x+2=0x=-2x-√5=0x=√5x+√5=0x=-√5x=-2,-√5,√5,2

Similar Solved Questions

1 answer

What is the wavelength of a wave with a frequency of 200Hz while traveling at 125.5m/s

What is the wavelength of a wave with a frequency of 200Hz while traveling at 125.5m/s...
2 answers

I thought I saw Maria and Brett at the game, but her/she and him/ he had their backs to me.​

I thought I saw Maria and Brett at the game, but her/she and him/ he had their backs to me.​...
2 answers

Complétez avec l'adjectif interrogatif:Instructions:Follow the given example.Write down only the missing word on the box.Exemple: ........ est votre nom?Réponse: Quel est votre nom?1) ...... est ta couleur préférée?   2) ...... animal vous amiez?   3) ...... langue parlez-vous ?   4) ........ personne tu admires le plus ?   5) Julie a ............ livre?​

Complétez avec l'adjectif interrogatif:Instructions:Follow the given example.Write down only the missing word on the box.Exemple: ........ est votre nom?Réponse: Quel est votre nom?1) ...... est ta couleur préférée?   2) ...... animal vous amiez?   3) ...... langue parlez-vous ?   4...
1 answer

Write down the name of the solid.

Write down the name of the solid....
2 answers

Put the following in order from smallest to largest: cells, tissues, organ systems, organs

put the following in order from smallest to largest: cells, tissues, organ systems, organs...
1 answer

Evaluate: •3x2 - 2(3y + 2x) for x = -2 and y = 5 Help pls,evaluate this expression

Evaluate: •3x2 - 2(3y + 2x) for x = -2 and y = 5 Help pls,evaluate this expression...
1 answer

Absorption is the process of transporting nutrients from the small intestine to the ?

Absorption is the process of transporting nutrients from the small intestine to the ?...
1 answer

Which inequality is graphed below? + -5 -4 -3 -2 -1, 1 1 2 3 4 12 - 2x + 2

Which inequality is graphed below? + -5 -4 -3 -2 -1, 1 1 2 3 4 12 - 2x + 2...
1 answer

A train starting from a railway station and moving with uniform acceleration attains a speed 40km/hr. in 10mins. Find its acceleration?​

a train starting from a railway station and moving with uniform acceleration attains a speed 40km/hr. in 10mins. Find its acceleration?​...
1 answer

Rembrandt's mature works, such as the return of the prodigal son, differ from the religious art of italy and flanders in their ______________.

Rembrandt's mature works, such as the return of the prodigal son, differ from the religious art of italy and flanders in their ______________....
2 answers

Quick someone make me a poem with these words please and thank you p.s use 3 words that's in the picture​

quick someone make me a poem with these words please and thank you p.s use 3 words that's in the picture​...
1 answer

Madame, comment vous appelez-vous? _______ Je m'appelle Colette Ancelin, et je suis Française. A. Quelle est ta nationalité? B. Quelle est la nationalité de Madame? C. Quelle est votre nationalité? D. Quelle est ta nationalité, Madame?

Madame, comment vous appelez-vous? _______ Je m'appelle Colette Ancelin, et je suis Française. A. Quelle est ta nationalité? B. Quelle est la nationalité de Madame? C. Quelle est votre nationalité? D. Quelle est ta nationalité, Madame?...
1 answer

AM GIVING 20 POINTS! What is -6/7 x (-5/4)?

AM GIVING 20 POINTS! What is -6/7 x (-5/4)?...
1 answer

Which statement best describes perigee? A) The closest point in Earth's orbit of the Sun. B) The farthest point in the Moon's orbit to Earth. C) The Sun's orbit that is closest to the Moon. D) The closet point in the Moon's orbit to Earth

Which statement best describes perigee? A) The closest point in Earth's orbit of the Sun. B) The farthest point in the Moon's orbit to Earth. C) The Sun's orbit that is closest to the Moon. D) The closet point in the Moon's orbit to Earth...
1 answer

Solve for variable and explain each step: 6x-3=15​

solve for variable and explain each step: 6x-3=15​...
1 answer

The maximum number of dots an electron dot diagram can have is

The maximum number of dots an electron dot diagram can have is...
1 answer

What is one benefit of home based child care centers

What is one benefit of home based child care centers...
1 answer

8. There are 4,800 plastic spoons in a case. There are 6 boxes of spoons in each case. How many spoons are in each box?

8. There are 4,800 plastic spoons in a case. There are 6 boxes of spoons in each case. How many spoons are in each box?...
1 answer

What was the currency act

what was the currency act...
2 answers

PLEASE HELPPPPPP..........

PLEASE HELPPPPPP.............

-- 0.042271--