Write a CR for the solved problem. A example of one is attached as well. The problem about the ROCK is the example CR. The problem you ARE writing a CR for is 5x^2-8x=3. Instructions below. For the CR's, claim you should answer the question of , do you get 2 real solutions, 1 real solution, or 2 complex solutions? For your reasoning you should explain how you know. Use the example attached to help you answer. hints: that plus minus sign means there are two answers. If the number under the square root is positive, you have two real solutions. If the number is negative you have two complex solutions. If the number is 0 under the square root you have 1 real number solution.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

Write a CR for the solved problem. A example of one is attached as well. The problem about the ROCK is the example CR. The problem you ARE writing a CR for is 5x^2-8x=3. Instructions below.

 

For the CR's, claim you should answer the question of , do you get 2 real solutions, 1 real solution, or 2 complex solutions? For your reasoning you should explain how you know. Use the example attached to help you answer.

 

hints: that plus minus sign means there are two answers. If the number under the square root is positive, you have two real solutions. If the number is negative you have two complex solutions. If the number is 0 under the square root you have 1 real number solution.

5xA2-8x=3
-3 -3
5xA2-8x-3=0
x= -(8) ± √(-8)^2-4(5)(-3)
2(5)
x=8+64+60
10
x=8+ √124
x= 8+2√ 31
X=
10
4+31
5
So, two real
solutions are
X= {4+31 4- 31}
5
Transcribed Image Text:5xA2-8x=3 -3 -3 5xA2-8x-3=0 x= -(8) ± √(-8)^2-4(5)(-3) 2(5) x=8+64+60 10 x=8+ √124 x= 8+2√ 31 X= 10 4+31 5 So, two real solutions are X= {4+31 4- 31} 5
Austin throws a rock in the air. The height, h, in feet above the ground Is
by h = -16t² + 123t+ 40. How long is the rock in the air?
Claim: The rock will be in the air for 8 seconds at an initial velocity of 123 ft/sec and an
initial height of 40 feet.
Reasoning: The equation will be equal to 0 since the height is 0 ft when the rock is on the
ground. I solved the equation using the quadratic formula by plugging in a, b and c. The
radicand was a perfect square that I was able to take the square root of. I got 2 answers but
only one is reasonable for time since time can't be negative.
is given
Transcribed Image Text:Austin throws a rock in the air. The height, h, in feet above the ground Is by h = -16t² + 123t+ 40. How long is the rock in the air? Claim: The rock will be in the air for 8 seconds at an initial velocity of 123 ft/sec and an initial height of 40 feet. Reasoning: The equation will be equal to 0 since the height is 0 ft when the rock is on the ground. I solved the equation using the quadratic formula by plugging in a, b and c. The radicand was a perfect square that I was able to take the square root of. I got 2 answers but only one is reasonable for time since time can't be negative. is given
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Space-time
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON