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Solve the following equation by factorization: x^2 – 7x + 10 = 0

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Question

Solve the following equation by factorization:

x2 – 7x + 10 = 0

Sum
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Solution

Given,

⇒ x2 – 7x + 10 = 0

⇒ x2 – 5x – 2x + 10 = 0

⇒ x(x – 5) – 2(x – 5) = 0

⇒ (x – 2)(x – 5) = 0

⇒ x – 2 = 0 or x – 5 = 0   ...[Using zero-product rule]

⇒ x = 2 or x = 5

Hence, x = {2, 5}.

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Chapter 5: Quadratic Equation - EXERCISE 5A [Page 53]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equation
EXERCISE 5A | Q 7. | Page 53
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