Question

Which statement best describes the equation (x 5)2 4(x 5) 12 = 0?.

Answer 1

Option 1 is correct.

Explanation:

Given the equation

we have to choose the best statement describes the above equation.

→ (1)

As, the highest degree of its monomials i.e individual terms with non-zero coefficients is 2.

⇒ Degree of above equation is 2.

hence, the given equation is quadratic equation.

The general form of quadratic equation is

In variable u: → (2)

Now, compare equation (1) with (2), we say that

The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).

Option 1 is correct.