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(Answer) MATH114N – Week 7 Assignment: Solving Equations by Using Quadratic Methods

QUESTIONS

Question 1

Solve: 36x4 – 83x2 + 35 = 0. Enter all solutions separated by a comma.

Do not include x= in your answer.

Question 2

Solve: x2/3 – 3x1/3 = 28.

(Use a comma to separate multiple solutions.)

Question 3

Solve: 6x2/3 – x1/3 = 12.

(Use a comma to separate multiple solutions.)

Question 4

Solve: 6x4 – 45x2 + 81 = 0.

Simplify all fractions and enter all solutions in order from smallest to largest, separated by a comma. Do not include x= in your answer.

Question 5

Solve: 15x4 – 67x2 + 72 = 0. Enter all solutions separated by a comma.

Do not include x= in your answer.

Question 6

Solve: 8x4 – 42x2 + 40 = 0. Enter all solutions separated by a comma. Do not include x= in your answer.

Question 7

Solve: 3x2/3 – 10x1/3 = 8.

(Use a comma to separate multiple solutions.)

Question 8

Solve: 2x – 7x1/2 = 15.

(Use a comma to separate multiple solutions.)

ANSWERS:

Question 1

Solve: 36x4 – 83x2 + 35 = 0. Enter all solutions separated by a comma.

Do not include x= in your answer.

Answer: √5/3​, −√5/3​, −√7/2​, √7/2​​

Question 2

Solve: x2/3 – 3x1/3 = 28.

(Use a comma to separate multiple solutions.)

Answer: ….

Question 3

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