Write whether the equation $ x + \frac{3}{x} = x^2 $, where $ x \ne 0 $, can be expressed in the form $ ax^2 + bx + c = 0 $, where $ a, b, c $ are real numbers and $ a \ne 0 $.

Q.Write whether the equation $ x + \frac{3}{x} = x^2 $, where $ x \ne 0 $, can be expressed in the form $ ax^2 + bx + c = 0 $, where $ a, b, c $ are real numbers and $ a \ne 0 $.

$x + \frac{3}{x} = x^2, (x \ne 0)$ Or, $x^2 + 3 = x^3$ Or, $x^3 = x^2 + 3$ Or, $x^3 - x^2 - 3 = 0$ In this sequence of equations, it is evident that it cannot be written in the form $ax^2 + bx + c$, and its highest degree is 3.

Similar Questions

Warning: Undefined array key 15 in /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php on line 431

Fatal error: Uncaught ValueError: substr_count(): Argument #2 ($needle) cannot be empty in /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php:432 Stack trace: #0 /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php(432): substr_count() #1 /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php(389): en_bookarray() #2 /home/u275975018/domains/ganitsarani.in/public_html/en/answer.php(332): en_sortvalue() #3 {main} thrown in /home/u275975018/domains/ganitsarani.in/public_html/en/common/searchfunctions_eng.php on line 432