CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > How to Solve Quadratic Equations with Factorisation
How to Solve Quadratic Equations with Factorisation Video Lecture | Quantitative Aptitude for CA Foundation
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FAQs on How to Solve Quadratic Equations with Factorisation Video Lecture - Quantitative Aptitude for CA Foundation
| 1. What is the general form of a quadratic equation? |  |
Ans.The general form of a quadratic equation is \( ax^2 + bx + c = 0 \), where \( a \), \( b \), and \( c \) are constants, and \( a \neq 0 \).
| 2. How do you factor a quadratic equation? | |
Ans.To factor a quadratic equation, you need to express it in the form \( (px + q)(rx + s) = 0 \). You can do this by finding two numbers that multiply to \( ac \) (the product of \( a \) and \( c \)) and add to \( b \).
| 3. What are the steps to solve a quadratic equation by factorisation? | |
Ans.The steps to solve a quadratic equation by factorisation are:
1. Write the equation in standard form \( ax^2 + bx + c = 0 \).
2. Factor the quadratic into the form \( (px + q)(rx + s) = 0 \).
3. Set each factor equal to zero and solve for \( x \).
| 4. Can all quadratic equations be solved by factorisation? | |
Ans.Not all quadratic equations can be solved by factorisation. Only those that can be expressed as a product of two binomials can be factored easily. If the roots are irrational or complex, other methods like completing the square or using the quadratic formula may be necessary.
| 5. What is the role of the discriminant in solving quadratic equations? | |
Ans.The discriminant, given by the formula \( D = b^2 - 4ac \), helps determine the nature of the roots of a quadratic equation. If \( D > 0 \), there are two distinct real roots; if \( D = 0 \), there is one real root (a repeated root); and if \( D < 0 \), the roots are complex (not real).
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Dec 22, 2024 Last updated |
Video Description: How to Solve Quadratic Equations with Factorisation for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation.
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