If (x+2)² = 25 and x > 0, what is the value of x?
I have no idea what to put for x, if someone could please show me the steps ?
what is the square root of each side?
(x+2)=+- 5
so x can be one of two values. Do first with +5, then do with -5.
I get -7, and 3
okay thanks! I understand now.
To find the value of x in the equation (x+2)² = 25, you can follow these steps:
1. Start with the equation: (x+2)² = 25.
2. Take the square root of both sides of the equation to isolate x+2. This gives you: √[(x+2)²] = √25.
3. Simplify the equation by removing the square root on the left side: x+2 = ±√25.
4. Calculate the square root of 25, which is ±5: x+2 = ±5.
5. Now, solve for x by subtracting 2 from both sides of the equation: x = -2 ± 5.
6. Simplify the equation: x = 3 or x = -7.
Since the question states that x > 0, the only valid solution is x = 3.