Hard Mathematics Quadratic Equations Class 10 Level 34

\(2x^2+8x+1=0\) के मूल पूर्ण वर्ग विधि से क्या होंगे?

What roots are obtained for \(2x^2+8x+1=0\) by completing the square method?

Explanation opens after your attempt
Correct Answer

A. \(x=-2\pm\frac{\sqrt{14}}{2}\)

Step 1

Concept

Since ((x+2)2=\frac{7}{2}), \(x=-2\pm\sqrt{\frac{7}{2}}=-2\pm\frac{\sqrt{14}}{2}\). In exams, write the square root in simplified form.

Step 2

Why this answer is correct

The correct answer is A. \(x=-2\pm\frac{\sqrt{14}}{2}\). Since ((x+2)2=\frac{7}{2}), \(x=-2\pm\sqrt{\frac{7}{2}}=-2\pm\frac{\sqrt{14}}{2}\). In exams, write the square root in simplified form.

Step 3

Exam Tip

((x+2)2=\frac{7}{2}), इसलिए \(x=-2\pm\sqrt{\frac{7}{2}}=-2\pm\frac{\sqrt{14}}{2}\) है। परीक्षा में वर्गमूल को सरल रूप में लिखें।

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Mathematics Answer, Explanation and Revision Hints

\(2x^2+8x+1=0\) के मूल पूर्ण वर्ग विधि से क्या होंगे? / What roots are obtained for \(2x^2+8x+1=0\) by completing the square method?

Correct Answer: A. \(x=-2\pm\frac{\sqrt{14}}{2}\). Explanation: ((x+2)2=\frac{7}{2}), इसलिए \(x=-2\pm\sqrt{\frac{7}{2}}=-2\pm\frac{\sqrt{14}}{2}\) है। परीक्षा में वर्गमूल को सरल रूप में लिखें। / Since ((x+2)2=\frac{7}{2}), \(x=-2\pm\sqrt{\frac{7}{2}}=-2\pm\frac{\sqrt{14}}{2}\). In exams, write the square root in simplified form.

Which concept should I revise for this Mathematics MCQ?

Since ((x+2)2=\frac{7}{2}), \(x=-2\pm\sqrt{\frac{7}{2}}=-2\pm\frac{\sqrt{14}}{2}\). In exams, write the square root in simplified form.

What exam hint can help solve this Mathematics question?

((x+2)2=\frac{7}{2}), इसलिए \(x=-2\pm\sqrt{\frac{7}{2}}=-2\pm\frac{\sqrt{14}}{2}\) है। परीक्षा में वर्गमूल को सरल रूप में लिखें।

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