1. Equations & Inequalities

Choosing a Method to Solve Quadratics

1. Equations & Inequalities

# Choosing a Method to Solve Quadratics - Video Tutorials & Practice Problems

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## Choosing a Method to Solve Quadratics

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2

Problem

ProblemChoose and apply the best method to solve the given quadratic equation.

$x^2-6x=5$

A

$x=6+\sqrt{14},x=6-\sqrt{14}$

B

$x=10,x=-4$

C

$x=3+\sqrt{14},x=3-\sqrt{14}$

D

$x=6,x=0$

3

Problem

ProblemChoose and apply the best method to solve the given quadratic equation.

$4x^2+16x+12=0$

A

$x=-3,x=-1$

B

$x=3,x=1$

C

$x=3,x=4$

D

$x=-12,x=1$

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PRACTICE PROBLEMS AND ACTIVITIES (27)

- Match the equation in Column I with its solution(s) in Column II. x^2 = 25
- Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer,...
- Solve each equation in Exercises 1 - 14 by factoring. 2x(x - 3) = 5x^2 - 7x
- Solve each equation in Exercises 1 - 14 by factoring. 10x - 1 = (2x + 1)^2
- Answer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x ...
- Solve each equation in Exercises 15–34 by the square root property. (x + 2)^2 = 25
- Solve each equation in Exercises 15–34 by the square root property. (x + 3)^2 = - 16
- Solve each equation in Exercises 15–34 by the square root property. (2x + 8)^2 = 27
- Solve each equation. -2x² +11x = -21
- Solve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10
- Solve each equation in Exercises 47–64 by completing the square. x^2 + 6x = 7
- See Exercise 47. (b)Which equation has two nonreal complex solutions?
- Solve each equation using the quadratic formula. See Examples 5 and 6. x^2 = 2x - 5
- Solve each equation in Exercises 47–64 by completing the square. 2x^2 - 7x + 3 = 0
- Solve each equation in Exercises 60–63 by the square root property. x^2/2 + 5 = -3
- Solve each equation in Exercises 66–67 by completing the square. 3x^2 -12x+11= 0
- Solve each equation in Exercises 65–74 using the quadratic formula. 4x^2 = 2x + 7
- Exercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - ...
- In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given eq...
- Evaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and te...
- Solve each equation in Exercises 83–108 by the method of your choice. 5x^2 + 2 = 11x
- Answer each question. Find the values of a, b, and c for which the quadratic equation. ax^2 + bx + c = 0 has ...
- Solve each equation in Exercises 83–108 by the method of your choice. 9 - 6x + x^2 = 0
- Solve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4
- Solve each equation in Exercises 83–108 by the method of your choice. 3/(x - 3) + 5/(x - 4) = (x^2 - 20)/(x^2...
- In Exercises 115–122, find all values of x satisfying the given conditions. y1 = 2x^2 + 5x - 4, y2 = - x^2 + ...
- Write a quadratic equation in general form whose solution set is {- 3, 5}.