Bellwork: 2/27/18 Solve each quadratic equation by factoring. Simplify: Solve each quadratic equation by factoring. 5. x2 + 8x + 16 = 0 6. x2 – 22x + 121 = 0 7. x2 – 12x + 36 = 0
Quadratic Flip Book How to Solve Quadratic Functions Square Roots Factoring Graphing Completing the Square Quadratic Formula
Completing the Square We will solve quadratic equations by completing the square. https://teacher.desmos.com/activitybuilder/custom/578ed7e3c60d78bc18264066#preview/42ab2b0e-8688-4087-8782-af31187e24f5
Complete the square to form a perfect square trinomial.
Solve by completing the square. Check your answer. x2 + 16x = –15 x2 – 4x – 6 = 0 x2 + 10x = –9 t2 – 8t – 5 = 0
A rectangular room has an area of 195 square feet A rectangular room has an area of 195 square feet. Its width is 2 feet shorter than its length. Find the dimensions of the room. Round to the nearest hundredth of a foot, if necessary.
An architect designs a rectangular room with an area of 400 ft2 An architect designs a rectangular room with an area of 400 ft2. The length is to be 8 ft longer than the width. Find the dimensions of the room. Round your answers to the nearest tenth of a foot.
Bellwork: 3/1/18 Get out 2 pieces of paper (if you are using my scratch paper, then you need 3 pieces) Fold the paper in half 3 times Make sure you put your name and my name on the paper
Bellwork: 3/2/18 1) What is the vertex of the equation?: f(x)= (x-5)2+1 2) Tina is solving the equation x2-18x = 3 by completing the square. What number should be added to both sides of the equation to complete the square? *If you missed the Benchmark yesterday or need to finish, you need to come in on Monday during conference
Solve by completing the square x2 + 10x = –9 t2 – 8t – 5 = 0