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Find the Solution of the Quadratic Equation `3sqrt3x^2+10x+Sqrt3=0` - Mathematics

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प्रश्न

Find the solution of the quadratic equation `3sqrt3x^2+10x+sqrt3=0`

उत्तर

The given quadratic equation is `3sqrt3x^2+10x+sqrt3=0` 

` 3sqrt3^2+10x+sqrt3=0` 

⇒`3sqrt3x^2+9x+x+sqrt3=0` 

⇒` 3sqrt3x(x+sqrt3)+1(x+sqrt3)=0` 

⇒`(x+sqrt3)(3sqrt3x+1)=0` 

⇒` x+sqrt3=0  or  3sqrt3x+1=0` 

⇒x=`-sqrt3  or  x=-1/(3sqrt3)=-sqrt3/9` 

Hence, `-sqrt3  and -sqrt3/9`  are the solution of the given equation.

 

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पाठ 10: Quadratic Equations - Exercises 6

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 10 Quadratic Equations
Exercises 6 | Q 37

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