√(x-10) = 1- √(x)

Question

`√(x-10) = 1- √(x)`

Answer 1

Answer: This equation has no solution available for the answer.

Step-by-step explanation: There are no values of x that make the equation true; therefore, there are no solutions for this equation. Just making sure if this is very helpful or not, if you just give me 1 star then you should have to report a mistake answer. Don’t frustrating too much!

Answer 2

Let y = √(x - 10), so that y² = x - 10.

Then x = y² + 10 so that √x = ±√(y² + 10).

So we've rewritten the equation as

y = ±√(y² + 10)

In either case, squaring both sides gives

y² = y² + 10

and eliminating y² gives us the false result

0 = 10

so there is no solution.