QUESTIONS

Question 1

Solve 4a² − 14a = −50 by completing the square. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

Question 2

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

n²+n

Question 3

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

x² + 3/2x

Question 4

Solve x² – 3/5x = 60 by completing the square. If there are multiple answers, list them separated by a comma (e.g., 1,2). If there is no solution, enter ∅.

Question 5

Solve u²+4u/5 = 5 by completing the square. If there are multiple answers, list them separated by a comma (e.g., 1,2). If there is no solution, enter ∅.

Question 6

Solve 5c²+5c=36 by completing the square. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅. Enter an exact answer.

Question 7

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

c²+3c

Question 8

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

n²+5/2n

Question 9

Solve x²+14x=80 by completing the square. If there are multiple answers, list them separated by a comma (e.g., 1,2).

Note: If there is no solution, enter ∅.

Question 10

Solve u²−3u=−54 by completing the square. If there are multiple answers, list them separated by a comma (e.g., 1,2). If there is no solution, enter ∅.

Question 11

Solve 2a²−20a = −4 by completing the square. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

Question 12

Solve 2z²+8z=4 by completing the square. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

ANSWERS:

Question 1

Solve 4a² − 14a = −50 by completing the square. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

Answer: a= ∅

Question 2

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

n²+n

Answer: (n+1/2)²

Question 3

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

x² + 3/2x

Answer: (x+3/4)²

Question 4…

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(Answer) MATH114N – Week 7 Assignment: Solving Quadratic Equations by Completing the Square