Question

Solve (x + 9)2 = 25. Apply the square root property of equality: Isolate the variable. = If x + 9 = 5, then x = . If x + 9 = –5, then x = .

Answer 1

To solve the equation (x + 9)^2 = 25, isolate the variable x by subtracting 9 from both sides, then take the square root of both sides using the square root property of equality. There are two solutions: x = -5 and x = -13.

Step-by-step explanation:

To solve the equation (x + 9)^2 = 25, we can use the square root property of equality. First, isolate the variable by subtracting 9 from both sides: (x + 9)^2 - 9 = 25 - 9. Simplifying, we have x^2 + 18x = 16. Next, we can take the square root of both sides:

sqrt(x^2 + 18x) = sqrt(16).

Applying the square root property, we have two cases to consider:

If x + 9 = 4, then x = -5. If x + 9 = -4, then x = -13.

Answer 2

`x=-4\text{ or }x=-14`

Step-by-step explanation:

We have been given an equation
`(x+9)^2=25` and we are asked to apply the square root property of equality to our given equation and isolate the variable.

First of all, let us take square root of both sides of our equation.

`√((x+9)^2)=√(25)`

`x+9=\pm 5`

`x+9= 5\text{ or }x+9=-5`

`x+9-9= 5-9\text{ or }x+9-9=-5-9`

`x=-4\text{ or }x=-14`

Therefore, there are two solutions for our given equation.

If
`x+9=5`, then
`x=-4`.

If
`x+9=-5`, then
`x=-14`.