Question
Solve the problems below. Write the problem, the work, and the solution Solve the quadratic equations in questions 1 - 5 by factoring. 1. x
Solve the problems below. Write the problem, the work, and the solution
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 - 9, state the solutions for the quadratic equation depicted in the graph.
6.
7.
8.
9.
10.Work backwards to make a quadratic equation that will have solutions ofx= 3 andx= -7.
11.Work backwards to make a quadratic equation that will have solutions ofx= 12 andx= 2.
12.Work backwards to make a quadratic equation that will have solutions ofx= -1/2 andx= 4.(Your equation must only have integer coefficients, meaning no fractions or decimals.)
13.make a quadratic equation that will have a solution of onlyx= 0. Note: this means there will be a double solution ofx= 0.
14.make a quadratic equation that cannot be factored.
15.The product of two consecutive positive integers is 72. Find the integers.
16.The product of two consecutive negative integers is 10506. make a quadratic equation that you could solve to find the integers.
17.make a quadratic equation to find two consecutive odd natural numbers whose product is 63.Then find the numbers.
18.A tennis ball is launched straight upward 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.
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