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Solve the Following Quadratic Equations by Factorization: A2x2 - 3abx + 2b2 = 0 - CBSE Class 10 - Mathematics

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Question

Solve the following quadratic equations by factorization:

a2x2 - 3abx + 2b2 = 0

Solution

a2x2 - 3abx + 2b2 = 0

⇒ a2x2 - 2abx - abx + 2b2 = 0

⇒ ax(ax - 2b) - b(ax - 2b) = 0

⇒ (ax - b)(ax - 2b) = 0

Therefore,

ax - b = 0

ax = b

x = b/a

or,

ax - 2b = 0

ax = 2b

x = 2b/a

Hence, x = b/a or x = 2b/a

  Is there an error in this question or solution?

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Solution Solve the Following Quadratic Equations by Factorization: A2x2 - 3abx + 2b2 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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