Roots of cubic equations. Find the roots for each of thefollowing cubic equations using Newton?s method: 5.9.

Roots of cubic equations. Find the roots for each of thefollowing cubic equations using Newton?s method:

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5.9. Roots of cubic equations. Find the roots for each of the following cubic equations using Newton's method: (a) x³ + 3x-1=0 (b) x³+x²+x-2=0 (c) x³ +5x²−2 = 0 (hint: find an approximation to a first root a using Newton's method, then divide the left hand side of the equation by (x − a) to obtain a quadratic equation, which can be solved by the quadratic formula). 5.9. Roots of cubic equations. Find the roots for each of the following cubic equations using Newton's method: (a) x³ + 3x-1=0 (b) x³+x²+x-2=0 (c) x³ +5x²−2 = 0 (hint: find an approximation to a first root a using Newton's method, then divide the left hand side of the equation by (x − a) to obtain a quadratic equation, which can be solved by the quadratic formula).