WAEC - Mathematics (2008 - No. 28)

Find the quadratic equation whose roots are c and -c
x2 - c2 = 0
x2 + 2cx = 0
x2 + 2cx + c2 = 0
x2 - 2cx + c2 = 0

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

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