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Quadratic Equation

Given followi...

Question

Given following equation is quadratic:
$(x + 2)^{3} = x^{3} - 4$

A

True

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B

False

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Solution

The correct option is A True
$(x + 2)^{3} = x^{3} - 4$

We know that,

$(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$

$x^{3} + 8 + 6 x (x + 2) = x^{3} - 4$

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

Since the given equation is in the form $a x^{2} + b x + c = 0$ where, $a = 6$ ,
$b = 12$ , $c = 12$

The given equation is quadratic.

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