Which of the following are quadratic equations?

$(x\ +\ 2)^3\ =\ x^3\ –\ 4$

Given:

Given equation is $(x\ +\ 2)^3\ =\ x^3\ –\ 4$.

To do:

We have to check whether the given equation is quadratic.

Solution:

The standard form of a quadratic equation is $ax^2+bx+c=0$.

$(x\ +\ 2)^3\ =\ x^3\ –\ 4$

$x^3+8+3(x)(2)(x+2)=x^3-4$  

$8+6x^2+12x=-4$

$6x^2+12x+12=0$

$6x^2+12x+12=0$ is of the form $ax^2+bx+c=0$ where $a=6, b=12$ and $c=12$.

Therefore, $(x\ +\ 2)^3\ =\ x^3\ –\ 4$ is a quadratic equation.

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Updated on: 10-Oct-2022

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