Question: ٨٨ ل + ٢ + = ٣و² + ٤-
٨٨ + ٢ = ٣و² + ٤- ، position_hint: top-center
(1/2) + 2 = (u + 7?) ، position_hint: bottom-center
1. **Stating the problem:**
Solve the equation $$88 + 2 = 3u^2 + 4$$ for the variable $$u$$.
2. **Write the equation clearly:**
$$88 + 2 = 3u^2 + 4$$
3. **Simplify the left side:**
$$90 = 3u^2 + 4$$
4. **Isolate the term with $$u^2$$:**
Subtract 4 from both sides:
$$90 - 4 = 3u^2 + \cancel{4} - \cancel{4}$$
$$86 = 3u^2$$
5. **Solve for $$u^2$$:**
Divide both sides by 3:
$$\frac{86}{3} = \frac{3u^2}{3}$$
$$\frac{86}{3} = u^2$$
6. **Take the square root of both sides:**
$$u = \pm \sqrt{\frac{86}{3}}$$
7. **Simplify the square root if possible:**
Since 86 and 3 have no common square factors, leave as is or approximate:
$$u = \pm \sqrt{\frac{86}{3}} \approx \pm 5.36$$
**Final answer:**
$$u = \pm \sqrt{\frac{86}{3}}$$ or approximately $$u = \pm 5.36$$