Question
Check the equation is quadratic equation or not: $(x+2)^3=x^3-4$
✓
Answer
Here, LHS $=(x+2)^3=x^3+6 x^2+12 x+8$
Therefore, $(x+2)^3=x^3-4$ can be rewritten as
$x^3+6 x^2+12 x+8=x^3-4$
i.e., $6 x^2+12 x+12=0$ or, $x^2+2 x+2=0$
It is of the form $a x^2+b x+c=0$.
So, the given equation is a quadratic equation.
Therefore, $(x+2)^3=x^3-4$ can be rewritten as
$x^3+6 x^2+12 x+8=x^3-4$
i.e., $6 x^2+12 x+12=0$ or, $x^2+2 x+2=0$
It is of the form $a x^2+b x+c=0$.
So, the given equation is a quadratic equation.
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