Solving Quadratic Equations using Quadratic Formula - Quadratic Equations

MATH TEACHER GON

23 Aug 202209:05

Summary

TLDRIn this instructional video, the teacher demonstrates how to solve quadratic equations using the quadratic formula, focusing on the example x² - 2x - 15 = 0. The video walks through the identification of coefficients a, b, and c, substitution into the formula, and simplification to find the roots. The results yield two solutions, x₁ = 5 and x₂ = -3, with a verification step showcasing how to check these solutions by substituting them back into the original equation. Viewers are encouraged to engage with the content by liking, subscribing, and following for updates.

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Q & A

What is the main topic discussed in the video?
-The video focuses on solving quadratic equations using the quadratic formula.
What is the standard form of a quadratic equation?
-The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.
What values of a, b, and c are used in the equation x² - 2x - 15 = 0?
-In the equation x² - 2x - 15 = 0, a = 1, b = -2, and c = -15.
What is the quadratic formula used to find the roots of a quadratic equation?
-The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).
How are the values of a, b, and c substituted into the quadratic formula in the example?
-The values substituted are: -b becomes 2, b² is 4, -4ac becomes 60, and 2a is 2.
What is the simplified result of the radical part of the formula?
-The simplified radical part is √64, which equals 8.
What are the two roots of the quadratic equation x² - 2x - 15 = 0?
-The two roots are x₁ = 5 and x₂ = -3.
Why is it advisable to check the solutions of the quadratic equation?
-It is advisable to check the solutions to ensure they satisfy the original equation.
How can you verify if x = 5 is a solution to the equation?
-To verify, substitute x = 5 into the equation: 5² - 2(5) - 15 should equal 0, which it does.
What does the teacher encourage viewers to do at the end of the video?
-The teacher encourages viewers to like, subscribe, and hit the bell button for updates on new uploads.