Solving Quadratic Equations

To solve quadratic equations by taking square roots, isolate the squared term on one side of the equation. Then, take the square root of both sides. Remember to consider both the positive and negative square roots. Example: r = ±6

Quadratic Equation with no b term:

Trivia: To solve quadratic equations, it is important to isolate the squared term on one side of the equation. This allows you to take the square root of only one side, leading to the solution. Remember this key step while solving quadratic equations!

Solve each equation by taking square roots.
These are the questions from the review worksheet. Make sure that you have completed these problems on your worksheet before moving to the next slide.

1. Solve r² = 36.
2. Solve p² = 49.
3. Solve x² = 4.
4. Solve m² = 25.

Solve each equation by taking square roots.
Check your answers to the questions.

Solve each equation by taking square roots.
These are the questions from the review worksheet. Make sure that you have completed these problems on your worksheet before moving to the next slide.

5. Solve 36b² - 4 = 60
6. Solve 6n² + 8 = 494.
7. Solve 16x² - 6 = -2
8. Solve 9v² + 5 = 905

Solve each equation by taking square roots.
Check your answers to the questions.

Factoring Equations

Trivia: Factoring is a powerful technique used to solve equations. It involves breaking down an equation into its factors. In this case, the equation (a - 4)(a - 8) = 0 can be solved by setting each factor equal to zero. This allows us to find the values of 'a' that make the equation true. Factoring is commonly used in algebra to solve various types of equations.

Solve each equation by factoring.
These are the questions from the review worksheet. Make sure that you have completed these problems on your worksheet before moving to the next slide.

9. Solve (a - 4)(a - 8) = 0
10. Solve (p + 2)(p − 4) = 0
11. Solve (8a - 7)(7a + 3) = 0
12. Solve (x + 3)(x - 8) = 0

Solve each equation by taking square roots.
Check your answers to the questions.

Quadratic Equations

Trivia: Quadratic equations are equations of the form ax² + bx + c = 0, where a, b, and c are constants. They have the highest power of the variable as 2. The equation (8a-7)(7a+ 3) = 0 is a quadratic equation because it can be written in the form ax² + bx + c = 0.

Solving Quadratic Equations by Factoring

1. Write the equation in standard form: ax² + bx + c = 0
2. Use the x-method to find the roots.
3. Use the zero product property to find the solutions.
4. Write the solutions as a solution set. {a, b}

Solve each equation by factoring.
These are the questions from the review worksheet. Make sure that you have completed these problems on your worksheet before moving to the next slide.

13. Solve v² - v - 20 = 0
14. Solve n² - 16n + 64 = 0
15. Solve v² + v - 6 = 0
16. Solve n² - 64 = 0

Solve each equation by taking square roots.
Check your answers to the questions.

Solve each equation by factoring.
These are the questions from the review worksheet. Make sure that you have completed these problems on your worksheet before moving to the next slide.

17. Solve n² - 8n + 20 = 4
18. Solve n² + 4n - 23 = -2
19. Solve x² - 4x - 1 = -5
20. Solve n² - 5n + 5 = 5

Solve each equation by taking square roots.
Check your answers to the questions.