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djverab [1.8K]
3 years ago
12

Solve (x + 9)2 = 25.

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer:

x = -4 and x = -14

Step-by-step explanation:

Our equation is (x + 9)² = 25

Applying the square root property we would need to take the square root of both sides: \sqrt{(x+9)^{2} } =\sqrt{25}

This give us x + 9 = ±5

Here we have two equations since taking the square root gives us a positive and negative value

Our first equation is x + 9 = 5, and to isolate the variable we would need to subtract 9 from both sides, giving us x = -4

Our second equation is x + 9 = -5, and to isolate the variable we would need to subtract 9 from both sides, giving us x = -14

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qwelly [4]

Answer:

x = -14

Step-by-step explanation:

The expression to write in this problem is:

"the sum of x and 12 equals the sum of half of x and 5"

We have:

- The sum of x and 12 is: x+12

- The sum of half of x and 5 is: \frac{1}{2}x+5

So, the equation to write in this problem is

x+12=\frac{1}{2}x+5

We solve it as follows:

1) First, we subtract \frac{1}{2}x from both sides, and we get

x-\frac{1}{2}x+12=\frac{1}{2}x-\frac{1}{2}x+5\\\frac{1}{2}x+12=5

2) Then, we subtract 12 from both sides:

\frac{1}{2}x+12-12=5-12\\\frac{1}{2}x=-7

3) Now we multiply both sides by 2:

\frac{1}{2}x\cdot 2=-7\cdot 2\\x=-14

So, this is the solution.

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