ndiuka
JF-Expert Member
- Dec 21, 2009
- 699
- 825
Solve √x = x
To solve √x = x, follow these steps:
1. Start with:
√x = x
2. Square both sides:
(√x)² = x²
⇒ x = x²
3. Rearrange:
x² - x = 0
⇒ x(x - 1) = 0
4. Solve for x:
x = 0 or x = 1
5. Check both solutions in the original equation:
- √0 = 0 ✅
- √1 = 1 ✅
Final Answer:
x = 0 or x = 1 ✅
To solve √x = x, follow these steps:
1. Start with:
√x = x
2. Square both sides:
(√x)² = x²
⇒ x = x²
3. Rearrange:
x² - x = 0
⇒ x(x - 1) = 0
4. Solve for x:
x = 0 or x = 1
5. Check both solutions in the original equation:
- √0 = 0 ✅
- √1 = 1 ✅
Final Answer:
x = 0 or x = 1 ✅