Examine whether the following equation is qua | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given equation: $x + \frac{1}{x} = x^2$ $(x 
eq 0)$.Multiply the entire equation by $x$ to eliminate the fraction:$x(x) + x(\frac{1}{x}) = x(x^2)

Vedclass · Accepted Answer

No,it is not a quadratic equation.

Vedclass · Answer

(B) Given equation: $x + \frac{1}{x} = x^2$ $(x 
eq 0)$.Multiply the entire equation by $x$ to eliminate the fraction:$x(x) + x(\frac{1}{x}) = x(x^2)$$x^2 + 1 = x^3$Rearranging the terms to one side:$x^3 - x^2 - 1 = 0$.$A$ quadratic equation is defined as an equation of the form $ax^2 + bx + c = 0$,where $a 
eq 0$. The highest power (degree) of the variable $x$ in the given equation is $3$. Since the degree of the equation is $3$,it is a cubic equation,not a quadratic equation.

Examine whether the following equation is quadratic or not: $x + \frac{1}{x} = x^2$ $(x \neq 0)$

Similar Questions

If the following quadratic equation has two equal and real roots,then find the value of $k$: $2kx^2 - 8x + k = 0$.

The roots of the quadratic equation $x^{2}-2x-15=0$ are ....... .

If the following quadratic equation has two equal and real roots,then find the value of $k$: $k x^{2} - 24 x + 16 = 0$.

The speed of the flow of a river is $3 \, km/hr$. $A$ motorboat goes $12 \, km$ downstream and comes back in a total time of $3$ hours. Find the speed of the motorboat in still water. (The speed of flow of water is less than the speed of the boat.)

Which of the following is not a quadratic equation?

Vedclass Test Series

Exam Paper Generator

Online Exam Module