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What are the solutions to the quadratic equation 4(x + 2)2 = 36

User Moogal
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2 Answers

4 votes
4x + 8 x 2 = 36
4x + 16 = 36
4x = 20
x = 5
User MortalFool
by
8.6k points
3 votes

Answer:


x=-5\text{ or }x=1.

Explanation:

We have been given a quadratic equation
4(x+2)^2=36. We are asked to find the solutions for our given equation.

First of all, we will divide both sides of our given equation by 4 as shown below:


(4(x+2)^2)/(4)=(36)/(4)


(x+2)^2=9

Now, we will take square root of both sides of our equation.


√((x+2)^2)=\pm √(9)


√((x+2)^2)=\pm √(3^2)

Using radical rule
\sqrt[n]{a^n}=a, we will get:


x+2=\pm 3

Upon subtracting 2 from both sides of our given equation, we will get:


x+2-2=-2\pm 3


x=-2\pm 3

Now, we will write two equivalent equations to our equation as:


x=-2-3\text{ or }x=-2+3


x=-5\text{ or }x=1

Therefore, the solutions for our given quadratic equation are
x=-5\text{ or }x=1.

User Ambiguousmouse
by
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