What is the answer to sqrt((10+3\sqrt{x))}=sqrt(x) ?

The answer to sqrt((10+3\sqrt{x))}=sqrt(x) is x=25

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sqrt((10+3\sqrt{x))}=sqrt(x)

(10 + 3 x) = x

x = 25

Solution steps

(10 + 3 x) = x

Remove square roots

9 x = x^{2} - 20 x + 100

Solve

9 x = x^{2} - 20 x + 100 : x = 25, x = 4

x = 25, x = 4

Verify Solutions:

x = 25

True

, x = 4

False

The solution is

x = 25

0 = x x + 5

x - 2 - 4 = 0

2 x + x + 8 = 5

x - 2 x = 3

a, 3 a - 4 q = t

What is the answer to sqrt((10+3\sqrt{x))}=sqrt(x) ?
The answer to sqrt((10+3\sqrt{x))}=sqrt(x) is x=25
Solve for x: sqrt((10+3\sqrt{x))}=sqrt(x)
The solution is x=25