Question

What is 2√

​9x
​
​​ −6=10−2√
​x
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Answer 1

So,


`2 √(9x) - 6 = 10 - 2 √(x)`

Simplify radicals first.

`6 √(x) - 6 = 10 - 2 √(x)`

Try to combine the radicals.

`8 √(x) - 6 = 10`

Isolate the radical.

`8 √(x) = 16`

Power both sides.

`64x = 256`

Divide both sides by 64.

`x = 4`

Check

`2 √(9(4)) - 6 = 10 - 2 √(4)`

Simplify radicals.

`2 √(36) - 6 = 10 - 2 √(4)`

`2(6) - 6 = 10 - 2(2)`

Perform multiplication.

`12 - 6 = 10 - 4`

Perform subtraction.

`6 = 6\ This\ checks.`

S = {4}