1.4 Solving Equations Using a Graphing Utility

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Presentation transcript:

1.4 Solving Equations Using a Graphing Utility

An equation in one variable is a statement in which two expressions, at least one containing the variable, are equal. To solve an equation means to find all those values of the variable that result in a true statement.

Solve a linear equation 5x - 4 = 7.

Steps for Approximating Solutions of Equations Using Zero (or Root) Write the equation in the form {expression in x } = 0 Graph Y1= {expression in x }. Use ZERO (or ROOT) to determine each x-intercept of the graph.

Steps for Approximating Solutions of Equations Using Intersect Graph Y1={expression in x on the left hand side of equation}. Graph Y2={expression in x on the right hand side of equation}. Use INTERSECT to determine each x-coordinate of the points of intersection.

Methods for Solving Quadratic Equations Factoring Graphing Square Root Method Complete the Square Method Quadratic Formula

Equations Containing Radicals Isolate the most complicated radical on one side of the equation. Eliminate radical by raising each side to a power equal to the index of the radical. (Note: Steps 1 and 2 may need to be repeated if the equation contains more than one radical.) Solve resulting equation. Check for extraneous solutions.

Equations Involving Absolute Value Rewrite the equation without the absolute value symbol using the definition of absolute value.