Expert Mathematics Quadratic Equations Class 10 Level 35

\(11x^2-44x+7=0\) के मूल पूर्ण वर्ग विधि से क्या होंगे?

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

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

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.

Step 2

Why this answer is correct

The correct answer is A. \(x=2\pm\frac{\sqrt{407}}{11}\). 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.

Step 3

Exam Tip

((x-2)2=\frac{37}{11}), इसलिए \(x=2\pm\sqrt{\frac{37}{11}}=2\pm\frac{\sqrt{407}}{11}\) है। परीक्षा में हर को परिमेय बनाएं।

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Mathematics Answer, Explanation and Revision Hints

\(11x^2-44x+7=0\) के मूल पूर्ण वर्ग विधि से क्या होंगे? / What roots are obtained for \(11x^2-44x+7=0\) by completing square method?

Correct Answer: A. \(x=2\pm\frac{\sqrt{407}}{11}\). Explanation: ((x-2)2=\frac{37}{11}), इसलिए \(x=2\pm\sqrt{\frac{37}{11}}=2\pm\frac{\sqrt{407}}{11}\) है। परीक्षा में हर को परिमेय बनाएं। / 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 concept should I revise for this Mathematics MCQ?

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.

What exam hint can help solve this Mathematics question?

((x-2)2=\frac{37}{11}), इसलिए \(x=2\pm\sqrt{\frac{37}{11}}=2\pm\frac{\sqrt{407}}{11}\) है। परीक्षा में हर को परिमेय बनाएं।

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