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Solve the Following Quadratic Equations by Factorization: Sqrt2x^2-3x-2sqrt2=0 - CBSE Class 10 - Mathematics

ConceptSolutions of Quadratic Equations by Factorization

Question

Solve the following quadratic equations by factorization:

sqrt2x^2-3x-2sqrt2=0

Solution

We have been given

sqrt2x^2-3x-2sqrt2=0

sqrt2x^2-4x+x-2sqrt2=0

sqrt2x(x-2sqrt2)+1(x-2sqrt2)=0

(x-2sqrt2)(sqrt2x+1)=0

Therefore,

x-2sqrt2=0

x=2sqrt2

or,

sqrt2x+1=0

sqrt2x=-1

x=(-1)/sqrt2

Hence, x=2sqrt2 or x=(-1)/sqrt2

Is there an error in this question or solution?

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Solution Solve the Following Quadratic Equations by Factorization: Sqrt2x^2-3x-2sqrt2=0 Concept: Solutions of Quadratic Equations by Factorization.
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