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Solve the Following Quadratic Equations by Factorization: `(X+3)/(X+2)=(3x-7)/(2x-3)` - Mathematics

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Question

Solve the following quadratic equations by factorization:

`(x+3)/(x+2)=(3x-7)/(2x-3)`

Solution

We have been given

`(x+3)/(x+2)=(3x-7)/(2x-3)`

2x2 - 3x + 6x - 9 = 3x2 - 7x + 6x - 14

x2 - 4x - 5 = 0

x2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

Therefore,

x + 1 = 0

x = -1

or,

x - 5 = 0

x = 5

Hence, x = -1 or x = 5

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

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 22 | Page no. 20
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 22 | Page no. 20
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Solve the Following Quadratic Equations by Factorization: `(X+3)/(X+2)=(3x-7)/(2x-3)` Concept: Solutions of Quadratic Equations by Factorization.
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