Find the quadratic equation whose roots are c and -c
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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
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