Question

What is the solution to the equation 3 + 4√4y = 4?

Answer 1

The solution to the equation 3 + 4√4y = 4 is found by isolating the radical, squaring both sides, and then simplifying to get y = 0.015625.

Step-by-step explanation:

The student asks how to find the solution to the equation 3 + 4√4y = 4. To solve for y, follow these steps:

1. Subtract 3 from both sides of the equation to isolate the term with the radical, resulting in 4√4y = 1.
2. Divide both sides by 4, giving √4y = 0.25.
3. To eliminate the square root, square both sides of the equation: (4y) = (0.25)2.
4. Calculate the square of 0.25, which is 0.0625, and you'll have 4y = 0.0625.
5. Finally, divide both sides of the equation by 4 to solve for y, resulting in y = 0.0625 / 4, which simplifies to y = 0.015625.

So the solution to the equation is y = 0.015625.