Solving Quadratic Equations

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Presentation transcript:

Solving Quadratic Equations CC6 Solving Quadratic Equations

3 ways to solve a quadratic equation Factoring/Magic X Quadratic Formula Completing the square

ALWAYS FIND THE GCF FIRST THEN … DETERMINE A, B, C using

Multiplying Binomials Remember the distribution pattern

Using MAGIC X We do Magic X to split up the “B” term Then find the GCF of the 4 terms! Factor by “Grouping”

Solve by factoring

Factoring by guessing and checking ( __ __ ) ( __ __ ) You MUST multiply and add to get the middle term!!!

Solve by using the quadratic formula = 0

ALWAYS FIND THE GCF FIRST THEN …DETERMINE A, B, C using SUBSTITUTE into formula

Completing the square A needs to be one. The middle term should be an even. Use

Solve by completing the square or QF = 0

Word Problems Given Area as a trinomial Find the binomials by factoring Substitute the x value given to find the exact area

The area of the carpet is represented by Find the length and width of the carpet as binomials If the value of x is 5. What is the total area of the carpet?