1.

2x3 + 3x2 - 8x + 3 = 0 is double the other roots find the roots of the equation.

Answer»

\(2x^3 + 3x^2 - 8x + 3 = 0\)

x = 1 satisfies the equation (1) as 2 + 3 - 8 + 3 = 0

\(\therefore (x - 1) (2x^2 + 5x -3) = 0\)

⇒ \((x - 1) (2x - 1) (x + 3) = 0\)

⇒ \(x = 1, \frac12,-3\)



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