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Question
Solve the cubic equations:
2x3 – 9x2 + 10x = 3
Solution
2x3 – 9x2 + 10x – 3 = 0
Sum of the coefficients 2 – 9 + 10 – 3 = 0
∴ x = 1 is one of the roots.
2x2 – 7x + 3 = 0
(x – 3)(2x – 1) = 0
x = 3 or x = `1/2`
Roots are `3, 1/2, 1`
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