STANDARD FORM OF QUADRATIC EQUATIONS | EXTRACTING THE SQUARE ROOTS (Tagalog)
76This is a Module based lesson for MATH 9 with thr topic STANDARD FORM OF QUADRATIC EQUATIONS, DETERMINING VALUES FOR A, B AND C, AND SOLVING QUADRATIC EQUATIONS BY EXTRACTING THE SQUARE ROOTS for Quarter 1 Week1 : PART 1
COMMENT down if you would like a COPY of the POWERPOINT I used in the video, I would be glad to SHARE. βΊοΈ
Learning Goals and Targets
Know what are Quadratic Equations
Solve Quadratic Equations by Extracting Square Roots.
Apply solving Quadratic Equations in Real Life Situations.
Lesson Flow:
0:00 Sneak Peek Preview
2:04 Introduction
2:37 Lesson Goals and Targets
2:51 What are quadratic equations?
3:49 Standard Form of Quadratic Equation
4:30 Determining values of a, b and c
6:50 Hidden Quadratic Equations
12:20 Ways to solve Quadratic Equations
12:31 Steps in solving Quadratic Equations by Extracting the roots
13:11 What if it is not x2=k form?
16:52 What if the constant is not a perfect square?
19:42 What if there's a numerical coefficient beside x?
25:03 What if the number inside the square root is negative?
26:34 What if we are dealing with (x+p)2=k?
29:24 What if we are dealing with (x+c)2=k but k is not a perfect square?
32:44 What if we are dealing with q(x+p)2=k?
36:36 How can we apply this in real life situation?
42:47 What are the advantages of subscribing to the channel?
43:27 Closing message and references
You can also view this connected videos:
Part 2 Factoring https://youtu.be/DCrFn0pWGtU
Part 3 Completing the square https://youtu.be/jcFHYBbmLLo
Part 4 Quadratic formula
Video Highlights:
Quadratic Equations make nice curves, like this one:
The name Quadratic comes from the root word "quad" meaning square, because the variable gets squared (like x2).
It is also called an "Equation of Degree 2" (because of the "2" on the x) Standard form and determining A, B and C.
Hidden Quadratic Equations:
Before you answer this one, we need to make sure that the following equations should be in standard form first.
Steps for this technique are:
Isolate the squared term.
Take the square root of each side of the equation.
Use the Β±sign when taking the square root of the constant term.
Solve the resulting equation.
What if it is not in ππ=π form?
Generally, the check is optional.
Certainly, this example could have been solved just as easily by factoring. However, it demonstrates a technique that can be used to solve equations in this form that do not factor.
What if the constant is not a perfect square?
What if thereβs a numerical coefficient beside x?
What if the number inside the square root is negative?
After applying the square root property, we are left with the square root of a negative number.
Therefore, there is no real solution to this equation.
What if we are dealing with (π₯+π)^2=π?
What if we are dealing with (π₯+π)^2=π but k is not a perfect square?
What if we are dealing with γπ(π₯+π)γ^2=π?
How can we apply this in real life situation?
The diagonal of any rectangle forms two right triangles.
Thus the Pythagorean theorem applies.
The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse:
Let w represent the width. Let 2w represent the length.
References:
https://www.mathsisfun.com/algebra/quadratic-equation.html https://georgewoodbury.wordpress.com/tag/extracting-square-roots/ https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Beginning_Algebra_(Redden)/09%3A_Solving_Quadratic_Equations_and_Graphing_Parabolas/9.01%3A_Extracting_Square_Roots
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