Final Answer:
The solution to the equation kq₁/r² = kq₂/ (r+0.6)² is:kq₁/r² = kq₂/ (r+0.6)²
Step-by-step explanation:
To solve this equation, we need to isolate the variable r on one side of the equation. We can start by isolating r² on one side of the equation by multiplying both sides by r²:
kq₁/r² = kq₂/ (r+0.6)²
r²kq₁ = r²kq₂/ (r+0.6)²
Now, we can simplify the right-hand side of the equation by expanding the parentheses:
r²kq₁ = r²kq₂(1 + 0.6/r)²
r²kq₁ = r²kq₂(1 + 0.6/r)²
Next, we can factor out the r² term from both sides of the equation:
r²kq₁ = r²kq₂(1 + 0.6/r)²
r²kq₁ = r²kq₂(1 + 0.6/r)
Now, we can simplify the left-hand side of the equation by canceling out the r² term:
kq₁ = kq₂(1 + 0.6/r)
Therefore, the solution to the equation kq₁/r² = kq₂/ (r+0.6)² is kq₁ = kq₂(1 + 0.6/r).