4.6 Completing the Square

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This document discusses different methods for solving quadratic equations, including finding square roots, solving perfect square trinomials, and completing the square. It provides examples of how to isolate the variable, take square roots, factor perfect square trinomials, add constants to complete the square, and solve quadratic equations using these techniques. Homework problems are assigned from the textbook.

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SOLVING BY FINDING SQUARE ROOTS ,[object Object],[object Object],[object Object],[object Object],[object Object]

EXAMPLE: SOLVE EACH EQUATION BY FINDING SQUARE ROOTS

EXAMPLE: SOLVE EACH EQUATION BY FINDING SQUARE ROOTS Note: No real number squared is equal to – 5, so the equation does not have a real number solution

SOLVING A PERFECT SQUARE TRINOMIAL ,[object Object],[object Object]

SOLVING A PERFECT SQUARE TRINOMIAL ,[object Object],[object Object],[object Object],[object Object]

COMPLETING THE SQUARE ,[object Object],[object Object]

COMPLETE THE SQUARE ,[object Object],[object Object]

SOLVING AN EQUATION BY COMPLETING THE SQUARE ,[object Object],[object Object],[object Object],[object Object],[object Object]

EXAMPLE: SOLVE EACH EQUATION BY COMPLETING THE SQUARE

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