Find the quadratic equation whose roots are 1,2
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To form a quadratic equation from its root, we use the formula:
x2 - (sum of roots)x + product of root = 0 ------------ eqn(1)
sum of roots = 1/2 + (-1/3)
= 1/2 - 1/3
= 1/6
product of root = 1/2 x (-1/3)
= -1/6
Thus, eqn(1) becomes:
x2 - 1/6 x + (-1/6) = 0
x2 - 1/6 x - 1/6 = 0
multiply through by 6
6x2 - x - 1 = 0
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