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7.5 Solving Radical Equations
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Radical Equations A radical equation is an equation that has a variable in a radicand or has a variable with a rational exponent. Are these Radical Equations?
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We use inverse operations to solve equations.
For example, the inverse of squaring a function is finding the square root, so: Solve: x2 = 4
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The inverse of cubing a function is finding the cube root
The inverse of cubing a function is finding the cube root. Solve: x3 = 64
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The inverse of raising a function to the nth power is finding the nth root.
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Solve the following. Check your solutions!
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You can solve equations of the form by raising each side of the equation to the power of , the reciprocal of . If n is even, then If n is odd, then
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Examples:
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Let’s solve the equation using our calculators:
Given: The equation is already equal to zero! y= Use the zero function to find the x-intercepts!
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