SOLUTION: Show work please 10.    Work backwards to write a quadratic equation that will have solutions of x = 3 and x = -7. 11.    Work backwards to write a quadratic equation t

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Show work please 10.    Work backwards to write a quadratic equation that will have solutions of x = 3 and x = -7. 11.    Work backwards to write a quadratic equation t      Log On


   



Question 1154247: Show work please
10.    Work backwards to write a quadratic equation that will have solutions of x = 3 and x = -7.
11.    Work backwards to write a quadratic equation that will have solutions of x = 12 and x = 2.
12.    Work backwards to write a quadratic equation that will have solutions of x = -1/2 and x = 4.  (Your equation must only have integer coefficients, meaning no fractions or decimals.)
13.   Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0.
14.   Write 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. Write a quadratic equation that you could solve to find the integers.
17.   Write 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.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Is that most of or all of a homework assignment? Too many questions for just one post.

Picking just one of them:
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The product of two consecutive negative integers is 10506. Write a quadratic equation that you could solve to find the integers.
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Integers n and n+1, if both are negative then product is positive. The lesser is n and the greater is n+1.
n%28n%2B1%29=10506
You can try factorization if you want to, or go ahead solving the quadratic equation. n%5E2%2Bn-10506=0, and maybe try using solution to quadratic equation.

Either way, -103 and -102.