English

Which of the following are quadratic equation in x? x + 2/x = x^2

Advertisements
Advertisements

Question

Which of the following are quadratic equation in x?

`x + 2/x = x^2`

Sum
Advertisements

Solution

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. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Quadratic Equations - EXERCISE 4A [Page 182]

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
EXERCISE 4A | Q 1. (vii) | Page 182
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×