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Numerical solutions of equations. Decimal Search We will look at the polynomial equations which cannot be solved by algebraic methods. All linear and quadratic equations can be solved algebraically so we are interested in equations with powers of x3 at least. The first method to be looked at is the Decimal Search. This involves finding an interval of the x- axis in which a root of the equation lies. Let's consider the function: y=x5+4x2-2. The region to scan to find the first root is -4

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