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

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

B)The equation is quadratic in form because when it is expanded, it is a fourth-degree polynomial.

C)The equation is not quadratic in form because it cannot be solved by using the quadratic formula.

D)The equation is not quadratic in form because there is no real solution.

User Magallanes
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2 Answers

3 votes
it would be a. The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5). hope it helped
User Anurag Dhadse
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4 votes

Answer:

Option A is correct.

Explanation:

We have been given an equation:


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

Since, the equation has degree that is highest power 2 so, it is quadratic

Therefore, option A is correct that is the equation is quadratic in the form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).

Option B is incorrect because it will not give fourth degree polynomial

Option C and D are incorrect because the equation is quadratic.

User Jacob Stern
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