Question

Solve for q. √3q + 2 = √5

Answer 1

To solve for q in √3q + 2 = √5, subtract 2 from both sides, square both sides, combine like terms, and divide by 3, resulting in q = (9 - 4√5) / 3.

Step-by-step explanation:

To solve for q in the equation √3q + 2 = √5, we need to isolate q. We can do this by following these steps:

1. Subtract 2 from both sides to get √3q = √5 - 2.
2. Square both sides of the equation to eliminate the square roots: (√3q)² = (√5 - 2)², which simplifies to 3q = 5 - 4√5 + 4.
3. Combine the terms on the right side: 3q = 9 - 4√5.
4. Finally, divide both sides by 3 to solve for q: q = (9 - 4√5) / 3.

This solution provides the value of q. Note that this process assumes that we're working with real numbers and q is a value that results in a real number solution.