Find the value of x in an equation with multiple roots of 17.

Published on November 3, 2024

Algebra

The solution to the equation involving radicals and exponents is x = 77/120.

Question

Answer

Here’s how to solve the problem:

We are given the equation:

We can rewrite the radicals as exponents:

Since the bases are the same, we can add the exponents on the left side:

Calculate the sum of the fractions:

So, we have:

Since

, we can rewrite the equation as:

Now, we can equate the exponents:

To solve for

, divide both sides by 2:

Therefore,

Final Answer: The final answer is

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