To find the solution, we need to square both sides of the equation to eliminate the square root:
(root(32 + x))^2 = x
Simplifying:
32 + x = x^2
Rearranging the equation:
x^2 - x - 32 = 0
Now, we have a quadratic equation, we can solve it by factoring or using the quadratic formula:
(x - 8)(x + 4) = 0
This gives us two possible solutions:
x = 8 or x = -4
So the solutions to the equation are x = 8 and x = -4.
root(root32 + x )root(root32 + x) = x
3 answers
wrong again!
√(√32 + x)√(√32+x) = x
√(√32 + x)^2 = x
√32 + x = x
no solutions exist
√(√32 + x)√(√32+x) = x
√(√32 + x)^2 = x
√32 + x = x
no solutions exist
Apologies for the mistake in my previous response.
You are correct. Let's go through the correct solution:
√(√32 + x)√(√32+x) = x
√(√32 + x)^2 = x
√32 + x = x
Subtract x from both sides:
√32 = 0
This is not a true statement, as the square root of 32 is a positive number. Therefore, there are no solutions to the equation. Thank you for pointing out the error, and I appreciate your understanding.
You are correct. Let's go through the correct solution:
√(√32 + x)√(√32+x) = x
√(√32 + x)^2 = x
√32 + x = x
Subtract x from both sides:
√32 = 0
This is not a true statement, as the square root of 32 is a positive number. Therefore, there are no solutions to the equation. Thank you for pointing out the error, and I appreciate your understanding.