Question

x3 - x2 = (x-1)3 is this a quadratic eqn?

Answer 1

Answer:

no

Step-by-step explanation:

bcos it is not in the form of ax^2+bx+c

Answer 2

x³ - x² = (x-1)³ is a quadratic equation.

Given:

An equation x³ - x² = (x-1)³.

To Find:

Whether the given equation is quadratic or not.

Solution:

Any equation that has degree 2 is termed and which is a function of one variable is called a quadratic equation. Its general form is ax²+bx+c = 0, where a≠0.

We have been given an equation:

x³ - x² = (x-1)³

To find whether the given equation is quadratic or not, we will simplify it.

To do so, we will use the identity:

(a-b)³ = a³-b³- 3ab(a-b)

So, our given equation becomes:

x³ - x² = x³- 1³- 3x(x-1)

Canceling the x³ terms on both sides, we get:

⇒ -x² = -1 - 3x(x-1)

⇒ -x² = -1 - 3x²+3x

⇒ 2x² - 3x - 1 = 0.

We have obtained an equation having degree 2.

Hence, the given equation is quadratic.

∴ x³ - x² = (x-1)³ is a quadratic equation.

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