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(Answer) MATH114N – Week 7 Assignment: Solving Quadratic Equations Using the Square Root Property

QUESTIONS

Question 1

Use the square roots property to solve the quadratic equation (6d+1)2+12=13. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 2

Use the square roots property to solve the quadratic equation (y+150)2=50. Enter an exact answer. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 3

Use the Square Root Property to solve the quadratic equation 7x2 = −14. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

Question 4

Use the Square Root Property to solve the quadratic equation y2 = 4. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

Question 5

Use the Square Root Property to solve the quadratic equation 9q2−60q+100 = 20. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 6

Use the Square Root Property to solve the quadratic equation c2−16c+64 = 50. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 7

Use the Square Root Property to solve the quadratic equation 14n2+3=4. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

Question 8

Use the square roots property to solve the quadratic equation w2+250=249. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no real solution, enter ∅.

Question 9

Use the square roots property to solve the quadratic equation (6x−7)2+4=21. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 10

Use the square roots property to solve the quadratic equation (2z−20)2 = −12. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 11

Use the Square Root Property to solve the quadratic equation 4w2+28w+49=4. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 12

Use the Square Root Property to solve the quadratic equation m2−18m+81 = 100. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

ANSWERS

Question 1

Use the square roots property to solve the quadratic equation (6d+1)2+12=13. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Answer: d = 0, −13​​

Question 2

Use the square roots property to solve the quadratic equation (y+150)2=50. Enter an exact answer. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Answer: y= −150 + 5√2, −150 − 5√2​

Question 3

Use the Square Root Property to solve the quadratic equation 7x2 = −14. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

Answer:….

Question 4

To access all the answers and explanations (calculations) on how they were arrived at, click the button below.

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