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Methods to Solving the Quadratic Equation FoldableCreated by Ms.NhotsoubanhRelax about the quadratic equation. There are so many ways to solve it. Materials you will needConstruction Paper (soft colors) or computer paperScissorsMarkers (2 to 3 Dark colors)Pen or Pencilruler

Directions:Lay your construction horizontally so that we are folding the 17 inches in half.We want the largest viewing area as possible.Fold your construction paper in half, vertically down the middle (taco style).Fold both ends of the construction paper inward so that they meet at the center crease.

Using a ruler, measure approximately one and a half inches from the top and mark it. Do the same for the other side.Cut off the piece from both sides. Do not cut too much.This will be front of your foldable; your heading will be displayed here.HeadingUsing one of your markers, write Methods to Solving Quadratic Equations in the top as your heading.Measure about 5 inches from the top and mark both sides of the front cover.Using your scissors, cut to the first crease. DO NOT CUT ALL THE WAY. (cut along the red lines)The foldable should start taking form.Methods to solving Quadratic Equations

scrapscrapSectionsClose the flaps so that you can see the front of your cover; you should see 4 individual parts.Using a marker, label each part as follows:Factoring by GroupingFactoring by x-BoxQuadratic FormulaSquare Root Principle

Methods to Solving Quadratic EquationsSquare Root Principle Quadratic FormulaFactoring by x-BoxFactoring by GroupingTHIS IS HOW YOUR FOLDABLE WILL LOOK WHEN IT IS COMPLETEDcut in halfMethods to solving Quadratic Equations By Grouping:By the Quadratic Formula:Example 3By x-Box:By Square Root Principle:Example 4Your turnYour turnYour turnYour turncut in half

Example 1Example 2By Grouping:Example 1: Solve: 5x2 + 7x 6 = 0 Your turn: Solve: 3x2 12x 15 = 0 -30 7ba(c)-310a(c) b Factors of a(c) that will give you b1st termlast term5x2 6 = 0 + 10x 3x ( )( )x(5x 3) + 2(5x 3) = 0Factor out gcf for each binomial(x + 2) (5x 3) = 0x + 2 = 05x 3 = 0x = -2+3 +35x = 3 5 5 x =

x = { -2, }

Solve for xStandard form for a quadratic equation is ax2 + bx + c = 0By x-BoxExample 2: Solve: 5x2 + 7x 6 = 0 -30 7ba(c)-310Last term1st Term FactorFactor5x2-6+10x-3xPlace the factors: 10 & -3 in the box and add an x to eachx5x+2-3Then factor out gcf for each binomial(x + 2) (5x 3) = 0x + 2 = 05x 3 = 0x = -2+3 +35x = 3 5 5 x =

x = { -2, }

Your turn: Solve: 3x2 12x 15 = 0 Solve for xStandard form for a quadratic equation is ax2 + bx + c = 0By the Quadratic FormulaExample 3: Solve: 5x2 + 7x 6 = 0 1. Define a, b, and c.2. Write the quadratic formula.3. Substitute the given values into the formula.Steps:a = _____b = _____c = ___57

4. Solve for x. (you should have 2 answers)-6

Your turn: Solve: 3x2 12x 15 = 0 Standard form for a quadratic equation is ax2 + bx + c = 0x = { -2, }

By the Square Root Principle Example 4: Solve: 2x2 32 = 0 Standard form for a quadratic equation is ax2 + bx + c = 0Here is the exception, when there is no b, you get: ax2 + c = 01.Isolate the x2 term.2. Take the square root of both sides (that gets rid of the square, just like when solving radical equations)3. Solve for x. (you should have 2 answers)Steps:2x2 32 = 0 +32 +32

2x2 = 32 2 2 x2 = 16Your turn: 3x2 27 = 0