Questions and Answers
What is the first step to solve the equation $3x^2 = 27$?
After rearranging the equation $3x^2 - 27 = 0$, what is the next logical step?
Which of the following represents the equation in its factored form after solving $3x^2 - 27 = 0$?
What is the value of $x$ when solving the equation $3x^2 - 27 = 0$?
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Why is it necessary to write the equation in the standard form $3x^2 - 27 = 0$ before solving?
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Study Notes
Solving Quadratic Equations by Factorisation
- Assumes prior knowledge of factorisation methods for quadratic expressions.
- Factorisation is a crucial skill for simplifying and solving quadratic equations.
Example Problem
- To solve the equation 3x² = 27, start by rearranging it into standard quadratic form.
- Standard form of a quadratic equation is represented as ax² + bx + c = 0.
- Subtract 27 from both sides of the equation, resulting in 3x² - 27 = 0.
- The next steps typically involve factorising the expression formed, if possible, to find the values of x.
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Description
This quiz focuses on solving quadratic equations using the factorisation method. It is designed for students who have a prior understanding of how to factorise quadratic expressions. Challenge your skills with various problems to reinforce your knowledge in this essential algebra topic.
