solving quadratic equation
Not what you're looking for?
Solve the quadratic equations in questions 1 - 5 by factoring.
1. x2 - 49 = 0
2. 3x3 - 12x = 0
3. 12x2 + 14x + 12 = 18
4. -x3 + 22x2 - 121x = 0
5. x2 - 4x = 5
In questions 6 - 10, solve the quadratic equation by graphing.
11. Write a quadratic equation that will have solutions of x = 3 and x = -7.
12. Write a quadratic equation that will have solutions of x = 12 and x = 2.
13. Write a quadratic equation that will have solutions of x = -1/2 and x = 4.
14. Write a quadratic equation that will have a solution of only x = 0.
15. Write a quadratic equation that has no solutions.
16. The product of two consecutive positive integers is 72. Find the integers.
17. The product of two consecutive negative integers is 10506. Write a quadratic equation that you could solve to find the integers.
18. A tennis ball is launched with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:
4.9t2 + 24.5t + 117.6 = 0
-4.9t2 - 24.5t + 117.6 = 0
-4.9t2 + 24.5t - 117.6 = 0
4.9t2 + 24.5t - 117.6 = 0
-4.9t2 + 24.5t + 117.6 = 0
19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)
t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.
20. Using the same equation, determine when the ball is at a height of 49 meters.
Purchase this Solution
Solution Summary
The solution shows detailed steps of solving quadratic equation by different methods, such as factoring, graphing.
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.