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...
Find a formula for the nth term of the arithmetic sequence whose first term a and common difference d are given.a = 
, d = 
A. an = 
n + 
B. an = 
n + 
C. an = 
n + 
D. an = 
n - 
Divide. Write the answer as a mixed number as needed.
÷ 
A. 
B. 
C. 
D. 
Solve the equation by factoring.8x2 = -15x - x3
A. {-3, -5} B. {0, 3, 5} C. {3, 5} D. {0, -3, -5}
Establish the identity.sin ?[sin ? + sin(5?)] = cos(2?)[cos(2?) - cos(4?)]
What will be an ideal response?