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a) Factorize x²-3x - 10 b) Solve the equation x²-3x - 10 = 0

a) Factorize x²-3x - 10 b) Solve the equation x²-3x - 10 = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Quadratic Equation Tasks** a) **Factorize \( x^2 - 3x - 10 \)** b) **Solve the equation \( x^2 - 3x - 10 = 0 \)** **Explanation:** - **Factorization** involves expressing a quadratic equation as a product of its linear factors. This means finding two binomials that multiply to give the original quadratic expression. - **Solving the Equation** requires finding the values of \( x \) that satisfy the equation. This can be done by factoring the quadratic expression (as in part a) and setting each factor equal to zero, or by using the quadratic formula.
Transcribed Image Text:**Quadratic Equation Tasks** a) **Factorize \( x^2 - 3x - 10 \)** b) **Solve the equation \( x^2 - 3x - 10 = 0 \)** **Explanation:** - **Factorization** involves expressing a quadratic equation as a product of its linear factors. This means finding two binomials that multiply to give the original quadratic expression. - **Solving the Equation** requires finding the values of \( x \) that satisfy the equation. This can be done by factoring the quadratic expression (as in part a) and setting each factor equal to zero, or by using the quadratic formula.
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