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Check whether the following is quadratic equation or not. x + 1/x = 1

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Question

Check whether the following is quadratic equation or not.

`x + 1/x = 1`

Sum
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Solution

Here it has been given that,

`x+1/x=1`

Now, solving the above equation further we get,

`(x^2+1)/x=1`

x2 + 1 = x

x2 - x + 1 = 0

Now as we can see, the above equation clearly represents a quadratic equation of the form ax2 + bx + c = 0, where a = 1, b = -1 and c = 1.

Hence, the above equation is a quadratic equation.

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Chapter 4: Quadratic Equations - EXERCISE 4.1 [Page 4.4]

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R.D. Sharma Mathematics [English] Class 10
Chapter 4 Quadratic Equations
EXERCISE 4.1 | Q 1. (viii) | Page 4.4
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