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How To Find Real Solutions Of An Equation

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How To Find Real Solutions Of An Equation

How to Find All Real Solutions of an Equation | Sciencing

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Frequently, in Algebra class, you will be called to find all "real solutions" of an equation. Such questions essentially are asking you to find all solutions of an equation, and should any imaginary solutions (containing the imaginary number 'i') come up, to discard these solutions.

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Equation Calculator - Symbolab

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Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Type in any equation to get the solution, steps and graph This website uses cookies to ensure you get the best experience.

Equation Solver: Wolfram|Alpha

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About solving equations A value c c is said to be a root of a polynomial p(x) p (x) if p(c) = 0 p (c) = 0. The largest exponent of x x appearing in p(x) p (x) is called the degree of p p. If p(x) p (x) has degree n n, then it is well known that there are n n roots, once one takes into account multiplicity.

Solving Polynomials: How-to | Purplemath

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The first step in finding the solutions of (that is, the x -intercepts of, plus any complex -valued roots of) a given polynomial function is to apply the Rational Roots Test to the polynomial's leading coefficient and constant term, in order to get a list of values that might possibly be solutions to the related polynomial equation.

3 Ways to Solve a Cubic Equation - wikiHow

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If the discriminant is zero, then the equation has either one or two real solutions, and some of those solutions are shared. If it is negative, then the equation has only one solution. A cubic equation always has at least one real solution, because the graph will always cross the x-axis at least once.

Quadratic Equations: Solutions by Factoring

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Sometimes it is easier to find solutions or roots of a quadratic equation by factoring. Indeed, the basic principle to be used is: if a and b are real or complex numbers such that ab=0, then a=0 or b=0 . Example : Solve the equation Solution. Factoring yields the equation: Hence we have which yield

How to Solve Cubic Equations | Sciencing

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Generally speaking, when you have to solve a cubic equation, you'll be presented with it in the form: ax^3 +bx^2 + cx^1+d = 0 ax3 + bx2 + cx1 + d = 0 Each solution for x is called a "root" of the equation. Cubic equations either have one real root or three, although they may be repeated, but there is always at least one solution.

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