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Solve the Following Quadratic Equations by Factorization: `4sqrt3x^2+5x-2sqrt3=0` - Mathematics

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Question

Solve the following quadratic equations by factorization:

`4sqrt3x^2+5x-2sqrt3=0`

Solution

We have been given

`4sqrt3x^2+5x-2sqrt3=0`

`4sqrt3x^2+8x-3x-2sqrt3=0`

`4x(sqrt3x+2)-sqrt3(sqrt3x+2)=0`

`(sqrt3x+2)(4x-sqrt3)=0`

Therefore,

`sqrt3x+2=0`

`sqrt3x=-2`

`x=-2/sqrt3`

or,

`4x-sqrt3=0`

`4x=sqrt3`

`xsqrt3/4`

Hence, `x=-2/sqrt3` or `xsqrt3/4`

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 39 | Page no. 20
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 39 | Page no. 20
Solution Solve the Following Quadratic Equations by Factorization: `4sqrt3x^2+5x-2sqrt3=0` Concept: Solutions of Quadratic Equations by Factorization.
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