Quadratic Equation Unit

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Presentation transcript:

Quadratic Equation Unit Solving by taking the Square Root Medina

Solving Equations by Taking the Square Root on Both Sides ★It’s important to note that we can only solve by taking the square root on both side, when the quadratic has no linear term (no b value). Solve: variable 𝑏 = 0 1. Get the 𝑥 2 by itself 2. Square root both sides and write ± for each root 3. Simplify the radical Medina

Square Roots What is the value of ? x • x =x² Ask yourself, what times it self equals x²? x • x =x²

Solving by Taking the Square Root https://www.youtube.com/watch?v=q1G6PeyzRB0 Medina

Solving Equations with Perfect Squares To Solve: Means there are 2 answers Medina

Solving Equations with Perfect Squares To Solve: Means there are 2 answers Medina

Solving Equations with Non-Perfect Squares To Solve: Means there are 2 answers Medina

Remember what Square Roots Mean 𝟔𝟒 The expression being multiplied to itself 2 times to get the radicand The number being multiplied to itself to get the radicand 𝒙+𝟐 𝟐 Ask yourself, what expression times itself 2 times is 𝑥+2 2 ? Ask yourself, what times it self equals 64? 𝒙+𝟐 • 𝒙+𝟐 𝒙+𝟐 8 Medina

Solving by Taking the Square Root https://www.youtube.com/watch?v=ZGCEkPJBKrs Medina

Solving Equations with Parenthesis To Solve: Means there are 2 answers Is the x by itself? Medina

Solving Equations with Parenthesis To Solve: Means there are 2 answers Is the x by itself? Medina