Question

Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0? The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5). The equation is quadratic in form because when it is expanded, it is a fourth-degree polynomial. The equation is not quadratic in form because it cannot be solved by using the quadratic formula. The equation is not quadratic in form because there is no real solution.

Answer 1

Answer:

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

Step-by-step explanation:

Here, the given equation is,

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

When we substitute u = (x+5),

We get,

$u^2+4u+12=0$

Since, the degree of this polynomial = 2,

Thus, $u^2+4u+12=0$ is a quadratic equation having the variable u,

Where, u = x + 5,

Since, both u and x having the same degree,

⇒  $(x+5)^2+4(x+5)+12$ must have the degree 2,

Hence, $(x+5)^2+4(x+5)+12$ is a quadratic equation.

Answer 2

The first Option

Step-by-step explanation:

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