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(Answer) MATH114N – Week 3 Assignment: Solving Quadratic Equations by Factoring

QUESTIONS

Question 1:

Solve: (6z+6)2=0. Multiple answers, if any, should be separated by commas. Enter only integer(s) or fraction(s).

Question 2:

Solve: (12a) (11a−1)=0. Multiple answers, if any, should be separated by commas. Enter only integer(s) or fraction(s).

Question 3

Solve: 2y2+10y=0. Multiple answers, if any, should be separated by a comma. Enter only integer(s) or fraction(s).

Question 4

Solve: d2−4d= −3. Multiple answers, if any, should be separated by a comma. Enter only integer(s) or fraction(s).

Question 5

A rectangular retaining wall has an area of 15 square feet. The height of the wall is two feet less than its length. Find the height and the length of the wall.

Question 6

A reflecting pool is shaped like a right triangle, with one leg along the wall of a building. The hypotenuse is 9 feet longer than the side along the building. The third side is 7 feet longer than the side along the building. Find the lengths of all three sides of the reflecting pool.

Question 7

Solve: (8m−1) (m−4)=0. Multiple answers, if any, should be separated by commas. Enter only integer(s) or fraction(s).

Question 8

Solve: (8w−4)2=0. Multiple answers, if any, should be separated by commas. Enter only integer(s) or fraction(s).

Question 9:

Solve: (11u) (3u−5)=0. Multiple answers, if any, should be separated by commas (e.g. 2, 3). Enter only integer(s) or fraction(s).

Question 10

Solve: q2+ q = 0. Multiple answers, if any, should be separated by a comma. Enter only integer(s) or fraction(s).

Question 11

Solve: 12a2 + 28a = −8. Multiple answers, if any, should be separated by a comma. Enter only integer(s) or reduced fraction(s).

Question 12

If each side of a square patio is increased by 4 feet, the area of the patio would be 196 square feet. Solve the equation (s+4)2 = 196 for s to find the length of a side of the patio.

Question 13

The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet, find the length of each leg

ANSWERS:

Question 1:

Solve: (6z+6)2=0. Multiple answers, if any, should be separated by commas. Enter only integer(s) or fraction(s).

Answer: Z= -1

Question 2:

Solve: (12a) (11a−1)=0. Multiple answers, if any, should be separated by commas. Enter only integer(s) or fraction(s).

Answer:  a = 0, 1\11

Question 3

Solve: 2y2+10y=0. Multiple answers, if any, should be separated by a comma. Enter only integer(s) or fraction(s).

Answer:  y=0, -5

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