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# Solve the Following Quadratic Equations by Factorization: X^2-4sqrt2x+6=0 - CBSE Class 10 - Mathematics

ConceptSolutions of Quadratic Equations by Factorization

#### Question

Solve the following quadratic equations by factorization:

x^2-4sqrt2x+6=0

#### Solution

We have,

x^2-4sqrt2x+6=0

rArrx^2-3sqrt2x-sqrt2x+6=0

rArrx(x-3sqrt2)-sqrt2(x-3sqrt2)=0

rArr(x-sqrt2)(x-3sqrt2)=0

rArrx-sqrt2=0

rArrx=sqrt2

or

rArrx-3sqrt2=0

rArrx=3sqrt2

Hence, x=sqrt2 or x=3sqrt2

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Solution Solve the Following Quadratic Equations by Factorization: X^2-4sqrt2x+6=0 Concept: Solutions of Quadratic Equations by Factorization.
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