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What roots are obtained for (11x^2-44x+7=0) by completing square method?

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Answer and explanation

Correct answer: (x=2\pm\frac{\sqrt{407}}{11})

Since ((x-2)^2=\frac{37}{11}), (x=2\pm\sqrt{\frac{37}{11}}=2\pm\frac{\sqrt{407}}{11}). In exams, rationalize the denominator.

Related tags

QuadraticCompleting-SquareIrrational-Roots

Frequently asked questions

What is the correct answer to this question?

(x=2\pm\frac{\sqrt{407}}{11})

Why is this the correct answer?

Since ((x-2)^2=\frac{37}{11}), (x=2\pm\sqrt{\frac{37}{11}}=2\pm\frac{\sqrt{407}}{11}). In exams, rationalize the denominator.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.

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