M5L3 Radical Equations

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M5L3 Solving Radical Equations made by swartzje:

M5L3 Solving Radical Equations made by swartzje

What is a Radical Expression?:

What is a Radical Expression? A Radical Expression is an expression that has a variable in the radicand or has a variable with a rational exponent. yes yes no

Slide3:

Steps to solve a radical equation: STEP 1: Isolate the radical on one side of the equation ( if possible) STEP 2: Raise each side of the equation to a power equal to the index of the radical to eliminate the radical STEP 3: Solve the remaining polynomial equation. CHECK YOUR RESULTS.

EXAMPLE – Solving a Radical Equation:

EXAMPLE – Solving a Radical Equation 2 ( ) 2 Square both sides to get rid of the square root

EXAMPLE:

EXAMPLE 2 ( ) 2 NO SOLUTION Since 16 doesn’t plug in as a solution. Let’s Double Check that this works Note: You will get Extraneous Solutions from time to time – always do a quick check

RADICAL EQUATIONS:

RADICAL EQUATIONS ISOLATE RADICAL / RATIONAL RAISE BOTH SIDES TO RECIPROCAL POWER SOLVE FOR THE VARIABLE

Can graphing calculators help?:

Can graphing calculators help? SURE! Input for Y1 Input x-2 for Y2 Graph Find the points of intersection One Solution at (4, 2) To see if this is extraneous or not, plug the x value back into the equation. Does it work?

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