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Solving equations Section 1.4

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**Solving equations with radicals**

Solve the equation Check for extraneous solutions

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**Check for extraneous solutions.**

X=-7 is an extraneous solution. There are no solutions

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Solve Check for extraneous solutions!

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**Solve for x and check for extraneous solutions.**

X=0 is our solution x=-10 is an extraneous solution

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Two Radicals If there are two radicals in the equation, make sure you have one on each side of the equal sign before squaring both sides

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**Solve for x and check for extraneous solutions.**

X = -3 is an extraneous solution

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**Factor the equation with fractional exponents to solve for x**

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**Factor the equation with negative exponents to solve for x**

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**Factor by grouping (2x+3)² + 4(2x+3) + 5 = 0 (2x+3)² + 4(2x+3) = -5**

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