Provide an appropriate response.Given the solutions of a quadratic equation, is it possible to reconstruct the original equation? Why or why not?
What will be an ideal response?
No. Given the solutions of a quadratic equation, it is possible to find an equation equivalent to the original equation but not necessarily expressed in the same form as the original equation. For example, we can find a quadratic equation with solutions -2 and 4.
(x - (-2)) (x - 4) = 0
(x + 2)(x - 4) = 0
x2 - 2x - 8 = 0
Now x2 - 2x - 8 = 0 has solutions -2 and 4. However, the original equation might have been in another form, such as
You might also like to view...
Provide an appropriate response.A rocket is 32 feet from a satellite when it begins accelerating away from the satellite at a constant rate of 12 feet per second per second. The distance, in feet, between the rocket and the satellite is given by the function where t is the number of seconds since the rocket started accelerating. Find and interpret P(4). Distance Between Rocket and Satellite
A. 96; after 4 seconds, the distance between the rocket and the satellite is 96 feet. B. 56; after 56 seconds, the distance between the rocket and the satellite is 4 feet. C. 48; after 48 seconds, the distance between the rocket and the satellite is 4 feet. D. 128; after 4 seconds, the distance between the rocket and the satellite is 128 feet.
Provide an appropriate response.Solve for x: log6 36 = x
Fill in the blank(s) with the appropriate word(s).
Write the system of equations for which the given matrix is the augmented matrix.
What will be an ideal response?
Solve the problem.A repair company's charge for repairing a certain type of copy machine fits the model where y is the number of dollars charged and x is the number of minutes the repair person is on the job. How many minutes would it take for the cost of repair to reach $50? (Round to the nearest minute.)
A. 158 min B. 73 min C. 4 min D. 0 min