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5- Min Check. What value of c will make a perfect square? What value of c will make a perfect square?. Take ½ B and Square it…..1. Take ½ B and Square it…..9. Completing the Square. Today You will Learn: -How to complete a square for a quadratic equations
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5- Min Check What value of c will make a perfect square? What value of c will make a perfect square? Take ½ B and Square it…..1 Take ½ B and Square it…..9
Completing the Square Today You will Learn: -How to complete a square for a quadratic equations -How to Use completing the square to solve quadratic equations Why? So you can apply these principles to real-world situations. Mastery is 80% or better on 5 min checks and Indy work.
APK: Remember Perfect Square Trinomials? Like, this factors into: Because the middle term is double the square roots of the first and last terms….
To make an expression into A trinomial square we…. Complete the Square • Take half of the x coefficient • Square it. • Add that number to the end of the expressions to “complete the square”. Example: We created a perfect square trinomial! How do we Factor it?
Completing the Square Divide the middle coefficient By 2 and square. How do we Factor it?
Try THIS! Complete the Square:
Complete the Square • Factor • Solve for x Solve Quadratic Equations by Completing the Square Not a perfect square trinomial? Make it ONE! Add 4 to both sides to Complete square Factor
Sometimes the coefficient of x^2 is not 1… And we have to Make it1. Solve by Completing the Square. Example: Divide everything by 2. Complete the square (-3/4)^2 to both sides
Your Turn: Solve by completing the Square:
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