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Solve the Following Quadratic Equations by Factorization: X2 + 2ab = (2a + B)X - Mathematics

Solve the following quadratic equations by factorization:

x2 + 2ab = (2a + b)x

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Solution

We have been given

x2 + 2ab = (2a + b)x

x2 - (2a + b)x + 2ab = 0

x2 - 2ax - bx + 2ab = 0

x(x - 2a) - b(x - 2a) = 0

(x - 2a)(x - b) = 0

Therefore,

x - 2a = 0

x = 2a

or,

x - b = 0

x = b

Hence, x = 2a or x = b

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.3 | Q 50 | Page 21
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