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Solve equation using factorisation method: x2 – (a + b)x + ab = 0 - Mathematics

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Question

Solve equation using factorisation method:

x2 – (a + b)x + ab = 0

Sum

Solution

x2 – (a + b)x + ab = 0

⇒ x2 – ax – bx + ab = 0

⇒ x(x – a) – b(x – a) = 0

⇒ (x – a)(x – b) = 0

Since x – a = 0 or x – b = 0

Then x = a or x = b

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Chapter 5: Quadratic Equations - Exercise 5 (C) [Page 59]

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Selina Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (C) | Q 12 | Page 59
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