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Solve the Following Quadratic Equations by Factorization: `(X-5)(X-6)=25/(24)^2` - Mathematics

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Question

Solve the following quadratic equations by factorization:

`(x-5)(x-6)=25/(24)^2`

Solution

We have been given that,

`(x-5)(x-6)=25/(24)^2`

`(x-5)(x-6)=25/576`

`x^2-11x+30-25/576=0`

`x^2-11x+17255/576=0`

`x^2-145/24x-119/24x+17255/576=0`

`x(x-145/24)-119/24(x-145/24)=0`

`(x-119/24)(x-145/24)=0`

Therefore,

`x-119/24=0`

`x=119/24`

or,

`x-145/24=0`

`x=145/24`

Hence, `x=119/24=4 23/24` or `x=145/24=6 1/24`

  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: 61 | Page no. 21
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 61 | Page no. 21
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Solve the Following Quadratic Equations by Factorization: `(X-5)(X-6)=25/(24)^2` Concept: Solutions of Quadratic Equations by Factorization.
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