Solve the equation using square roots. x^2- 15 = 34

Starting with the equation x^2 - 15 = 34, we can isolate the variable x by adding 15 to both sides:

x^2 - 15 + 15 = 34 + 15

This simplifies to:

x^2 = 49

Now, to solve for x, we can take the square root of both sides:

√(x^2) = √49

This simplifies to:

x = ±7

Therefore, the solution to the equation x^2 - 15 = 34 is x = ±7.