Step 1: We start with the equation x^2 - 64 = 0.

Step 2: We can rewrite this equation as (x - 8)(x + 8) = 0, which is a factorization of the original equation.

Step 3: Now, we can set each factor equal to zero and solve for x.

So, x - 8 = 0 gives us x = 8.

And, x + 8 = 0 gives us x = -8.

Step 4: However, the problem specifies that x 0. So, we discard x = -8 because it does not satisfy this condition.

Therefore, the solution to the equation x^2 - 64 = 0, where x 0, is x = 8.

Question

Step 1: We start with the equation x^2 - 64 = 0.

Step 2: We can rewrite this equation as (x - 8)(x + 8) = 0, which is a factorization of the original equation.

Step 3: Now, we can set each factor equal to zero and solve for x.

So, x - 8 = 0 gives us x = 8.

And, x + 8 = 0 gives us x = -8.

Step 4: However, the problem specifies that x > 0. So, we discard x = -8 because it does not satisfy this condition.

Therefore, the solution to the equation x^2 - 64 = 0, where x > 0, is x = 8.

Knowee AI · Accepted Answer

Step 1: We start with the equation x^2 - 64 = 0.

Step 2: We can rewrite this equation as (x - 8)(x + 8) = 0, which is a factorization of the original equation.

Step 3: Now, we can set each factor equal to zero and solve for x.

So, x - 8 = 0 gives us x = 8.

And, x + 8 = 0 gives us x = -8.

Step 4: However, the problem specifies that x > 0. So, we discard x = -8 because it does not satisfy this condition.

Therefore, the solution to the equation x^2 - 64 = 0, where x > 0, is x = 8.

Solve for x, where x 2 −64=0, and x>0.