What are the solutions of the equation x^2 + 4x + 4= 25? a. x = 3 or x = -7 b. x = -3 or x = 7 c. x = 1 or x = 9 d. x = 1 or x = -9

Firstly, you need to set the equation to 0. To do that, subtract both sides by 25: .

Next, we can complete the square. But first, what two terms have a product of -21x^2 and a sum of 4x? That would be 7x and -3x. Replace 4x in the equation with 7x - 3x:

Next, factor x^2 + 7x and -3x - 21 separately. Make sure that they both have the same quantity on the inside:

Now you can rewrite the equation as

Now using zero product property, solve for x:

In short, your answer is A. x = 3 or x = -7.

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step-by-step explanation:

can i have brainliest

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for