What is the answer to sqrt(8-7\sqrt{x)}=sqrt(x) ?

The answer to sqrt(8-7\sqrt{x)}=sqrt(x) is x=1

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sqrt(8-7\sqrt{x)}=sqrt(x)

8 - 7 x = x

x = 1

Solution steps

8 - 7 x = x

Remove square roots

49 x = x^{2} - 16 x + 64

Solve

49 x = x^{2} - 16 x + 64 : x = 64, x = 1

x = 64, x = 1

Verify Solutions:

x = 64

False

, x = 1

True

The solution is

x = 1

13 x = x + 36

5 x + 35 = x + 7

2 4 x - 3 = 10

2 4 x - 3 = 14

2 x = 30 + 2 x

What is the answer to sqrt(8-7\sqrt{x)}=sqrt(x) ?
The answer to sqrt(8-7\sqrt{x)}=sqrt(x) is x=1
Solve for x: sqrt(8-7\sqrt{x)}=sqrt(x)
The solution is x=1