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प्रश्न
Which of the following are quadratic equation in x?
`x + 2/x = x^2`
योग
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उत्तर
Given: `x + 2/x = x^2`
Step-wise calculation:
1. Note x ≠ 0 (denominator).
2. Multiply both sides by x:
x2 + 2 = x3
3. Rearrange to one side:
x3 – x2 – 2 = 0
The equation simplifies to a cubic polynomial (degree 3), not a quadratic (degree 2).
Therefore, `x + 2/x = x^2` is not a quadratic equation in x.
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अध्याय 4: Quadratic Equations - EXERCISE 4A [पृष्ठ १८२]
