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(Answer) MATH114N – Week 7 Assignment: Solving Quadratic Equations with the Quadratic Formula

QUESTIONS

Question 1

Solve y(y−10) + 30 = 0 by using the quadratic formula. If there is no real solution, enter ∅.

Question 2

Solve 1/3u2 + 2/3u = −1/12 by using the quadratic formula. Give an exact answer and simplify any fractions. 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 discriminant to determine the number of real solutions to the quadratic equation.

64w2+96w+36=0

What is the number of real solutions?

  • 0
  • 1
  • 2

Question 4

Solve 14n2 + 32n = −34 by using the quadratic formula. Simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 5

Use the discriminant to determine the number of real solutions to the quadratic equation.

−4z2 − 3z + 5 = 0

What is the number of real solutions?

  • 0
  • 1
  • 2

Question 6

Solve 4d2 − 15d + 16 = 0 by using the quadratic formula. If there is no real solution, enter ∅.

Question 7

Solve 4z2 − 9z – 1 = 0 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 8

Solve d (10d − 9) + 1 = 0 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, do not use the ± sign, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 9

Solve 2w2 − 4w + 5 = 0 by using the quadratic formula. If there is no real solution, enter ∅.

Question 10

Solve 10a2 + 20a + 10 = 0 by using the quadratic formula. If there is no real solution, enter ∅.

Question 11

Use the discriminant to determine the number of real solutions to the quadratic equation.

−2a2 − 11a – 10 = 0

What is the number of real solutions?

  • 0
  • 1
  • 2

Question 12

Use the discriminant to determine the number of real solutions to the quadratic equation.

−100a2 + 20a – 1 = 0

What is the number of real solutions?

  • 0
  • 1
  • 2

ANSWERS

Question 1

Solve y(y−10) + 30 = 0 by using the quadratic formula. If there is no real solution, enter ∅.

Answer: y=

Question 2

Solve 1/3u2 + 2/3u = −1/12 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Answer: u= −1 + √3/2​, −1−√3/2​​

Question 3

Use the discriminant to determine the number of real solutions to the quadratic equation.

64w2+96w+36=0

What is the number of real solutions?

  • 0
  • 1
  • 2

Answer:……

Question 4…

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

 

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