WAEC - Mathematics (2009 - No. 31)

Find the quadratic equation whose roots are -\(\frac{1}{2}\) and 3
2x2 - 2x + 3 = 0
2x2 - 2x - 3 = 0
2x2 - 5x - 3 = 0
3x2 - 5x - 3 = 0

Explanation

x = \(\frac{-1}{2}\)

x = 3

2x = -1, x = 3; 2x + 1 = 0

x - 3 = 0

(2x + 1)(x - 3) = 0

2x2 - 6x + x - 3 = 0

2x2 - 5x - 3 = 0

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