math

When tackling algebra equations like √3x + 2 = 5, I've found it helpful to break down the problem into manageable steps. First, it's important to isolate the term with the variable. In this case, subtract 2 from both sides to get √3x = 3. Next comes dealing with the square root. To eliminate the √3, you can square both sides, but since √3 is a constant multiplied by x, it's better first to express the equation as √3 * x = 3. Dividing both sides by √3 gives x = 3 / √3. To simplify 3 / √3, multiply numerator and denominator by √3 to rationalize the denominator, resulting in x = (3 * √3) / 3 = √3. This means x equals approximately 1.732. Looking at the provided options A. 7, B. 8, C. 9, D. None, none directly matches √3; thus, the correct answer would be D. None. Mastering these algebra basics really boosts confidence when approaching more complex problems. I often use similar step-by-step methods and double-check by plugging the value back into the original equation to verify accuracy. This practical approach ensures better understanding and reduces mistakes. If you’re learning algebra, try practicing with different types of equations and always remember to tackle one operation at a time.