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
Correct Answer: Option A
Explanation
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