Find the quadratic equation whose roots are c and -c
A
x2 - c2 = 0
B
x2 + 2cx = 0
C
x2 + 2cx + c2 = 0
D
x2 - 2cx + c2 = 0
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Roots; x and -c
sum of roots = c + (-c) = 0
product of roots = c x -c = -c2
Equation; x2 - (sum of roots) x = product of roots = 0
x2 - (0)x + (-c2) = 0
x2 - c2 = 0
Source: Myschool Past Questions Archive (Record #36393)