Question

Plees!!!√y+2-√y-6=2​

Answer 1

Ответ:

Вроде так, я точно не уверена

Вычисляя корень7+2-корень7-6=2

Answer 2

I can help you solve the equation:

√(y + 2) - √(y - 6) = 2

Let's isolate one of the square roots on one side of the equation and square both sides to eliminate the square roots. Here's how you can do it step by step:

1. Start with the original equation:

√(y + 2) - √(y - 6) = 2

2. Move the second square root term to the other side of the equation:

√(y + 2) = √(y - 6) + 2

3. Now, square both sides of the equation to eliminate the square roots:

(√(y + 2))^2 = (√(y - 6) + 2)^2

y + 2 = (y - 6) + 4√(y - 6) + 4

4. Now, simplify the equation:

y + 2 = y - 6 + 4√(y - 6) + 4

5. Subtract y from both sides to simplify further:

2 = -6 + 4√(y - 6) + 4

6. Add 6 to both sides:

2 + 6 = 4√(y - 6) + 4 + 6

8 = 4√(y - 6) + 10

7. Now, subtract 10 from both sides:

8 - 10 = 4√(y - 6)

-2 = 4√(y - 6)

8. Finally, divide both sides by 4 to isolate the square root term:

-2/4 = (4√(y - 6))/4

-1/2 = √(y - 6)

9. Now, square both sides to solve for y:

(-1/2)^2 = (√(y - 6))^2

1/4 = y - 6

10. Add 6 to both sides to find y:

1/4 + 6 = y - 6 + 6

1/4 + 24/4 = y

25/4 = y

So, the solution to the equation is y = 25/4.