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.

Option 1 is correct.

Step-by-step 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.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right