Verified Answer :

SchwarzschildRadius

So,

\(2 \sqrt{9x} - 6 = 10 - 2 \sqrt{x}\)

Simplify radicals first.
\(6 \sqrt{x} - 6 = 10 - 2 \sqrt{x}\)

Try to combine the radicals.
\(8 \sqrt{x} - 6 = 10\)

Isolate the radical.
\(8 \sqrt{x} = 16\)

Power both sides.
\(64x = 256\)

Divide both sides by 64.
\(x = 4\)

Check
\(2 \sqrt{9(4)} - 6 = 10 - 2 \sqrt{4}\)

Simplify radicals.
\(2 \sqrt{36} - 6 = 10 - 2 \sqrt{4}\)
\(2(6) - 6 = 10 - 2(2)\)

Perform multiplication.
\(12 - 6 = 10 - 4\)

Perform subtraction.
\(6 = 6\ This\ checks.\)

S = {4}

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