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`15x^2-28=X` - Mathematics

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Question

`15x^2-28=x` 

 

Solution

Given: 

`15x^2-28=x` 

⇒` 15x^2-x-28=0`  

⇒`15x^2-(21x-20x)-28=0` 

`⇒15x^2-21x+20x-28=0` 

⇒`3x(5x-7)+4(5x-7)=0` 

⇒`(3x+4)(5x-7)=0` 

` ⇒3x+4=0  or  5x-7=0` 

`⇒ x=(-4)/3 or x=7/5` 

Hence, the roots of the equation are `(-4)/3 and 7/5` 

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Chapter 10: Quadratic Equations - Exercises 1

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RS Aggarwal Mathematics [English] Class 10
Chapter 10 Quadratic Equations
Exercises 1 | Q 17
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