Question

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

Answer 1

Answer:

Option 1 is correct.

Step-by-step explanation:

Given the equation $(x + 5)^2 + 4(x + 5) + 12 = 0$

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

$(x + 5)^2 + 4(x + 5) + 12 = 0$  →  (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

$ax^2+bx+c$

In variable u: $u^2+u+c=0$  →  (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.

Answer 2

Quadratic, because of the first option, yo would get u^2+4u+12=0