Solving Square Root Equations

Solving Square Root Equations - The principal square root is always the positive root For example the principal root of sqrt 9 3 But sqrt 9 has 2 roots If both roots are needed usually when solving quadratic equations then the notation is used as a shorthand for saying we need sqrt 9 3 and Sqrt 5x 4 x 2 Here we are saying the positive principal square root of 5x 4 is equal to x 2 That means x 2 has to be a positive number which means the domain of our equation will be that x has to be greater than or equal to 2 1 Isolate the radical symbol on one side of the equation 2 Square both sides of the equation to eliminate the radical symbol 3 Solve the equation that comes out after the squaring process 4 Check your answers with the original equation to avoid extraneous values or solutions

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Solving Square Root Equations

Solving An Equation That Contains A Square Root Math ShowMe

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Homework For Ehrbar HW 20 Solving Square Root Equations Sheet

Homework for ehrbar hw 20 solving square root equations sheet

If an equation has a square root equal to a negative number that equation will have no solution Solve 9k 2 1 0 To isolate the radical subtract 1 from both sides Simplify Since the square root is equal to a

Solve a Quadratic by Completing the Square 2x 2 bx c Brian McLogan Solving Quadratic Equations using the Square Root Property Algebra

How To Solve A Square Root Problem Solving Square Roots

how to solve a square root problem solving square roots

Square Roots Of Quadratic Equations Definition Examples Expii

Square roots of quadratic equations definition examples expii

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We have removed one square root expand right hand side 2x 5 1 2 x 1 x 1 simplify 2x 5 2 x 1 x subtract x from both sides x 5 2 x 1 Now do the square root thing again isolate the square root x 1 x 5 2 square both sides x 1

A square root equation is an equation that contains a variable under a square root sign The fact that x x x 2 x suggests that we can solve a square root equation by squaring both sides of the equation Squaring both sides of an equation can however introduce extraneous solutions Consider the equation