Solving equations Section 1.4.

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Presentation transcript:

Solving equations Section 1.4

Solving equations with radicals Solve the equation Check for extraneous solutions

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

Solve Check for extraneous solutions!

Solve for x and check for extraneous solutions. X=0 is our solution x=-10 is an extraneous solution

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

Solve for x and check for extraneous solutions. X = -3 is an extraneous solution

Factor the equation with fractional exponents to solve for x

Factor the equation with negative exponents to solve for x

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