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  • Which of the following are quadratic equation?Option: 1 <img alt="x^{2}-5 x+2=0" src="https://entrancecorner.oncodecogs.com/gif.latex?x%5E%7B2%7D-5%2

Which of the following are quadratic equation?

Option: 1

x^{2}-5 x+2=0


Option: 2

x+\frac{1}{x}=x^2


Option: 3

x^3-3=0


Option: 4

All of the Above


Answers (1)

best_answer

 

 

Introduction -

In the standard form of a quadratic equation \mathrm{a x^{2}+b x+c=0}

  1. All the terms (except zero) are on one side of equal (=) and zero (0) is on the other side of the equal sign.

  2. The powers of x are in descending order. 

  3. Either or both ‘b’ and ' c’ can be equal to zero but a ≠ 0 . Therefore a quadratic equation may be in the form a x^{2}+b x=0,\; a x^{2}+c=0, \;a x^{2}=0\;\text{ or } \;x^{2}=0.

  4. The term of x2 (i.e. ax2 ), the term of x (i.e. bx ), or constant term (i.e. c ) can not be more than one.

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x^{2}-5 x+3=0  is a quadratic equation.

x+\frac{1}{x}=x^{2} \Rightarrow x^{2}+1=x^{3} \Rightarrow x^{3}-x^{2}-1=0

It is polynomial of degree 3, it is not quadratic.

Posted by

Deependra Verma

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