What is the answer to sqrt(3-\sqrt{x-1)}=sqrt(2x) ?

The answer to sqrt(3-\sqrt{x-1)}=sqrt(2x) is x= 5/4

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sqrt(3-\sqrt{x-1)}=sqrt(2x)

3 - x - 1 = 2 x

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

3 - x - 1 = 2 x

Remove square roots

x - 1 = 4 x^{2} - 12 x + 9

Solve

x - 1 = 4 x^{2} - 12 x + 9 : x = 2, x = \frac{5}{4}

x = 2, x = \frac{5}{4}

Verify Solutions:

x = 2

False

, x = \frac{5}{4}

True

The solution is

x = \frac{5}{4}

36 - 12 k^{\frac{1}{2}} = 20

\frac{x + 1}{( x )} = 4

x^{2} - 24 = 5 x

x = 2 + 3 x + 1 x

x^{\frac{3}{2}} = 12

What is the answer to sqrt(3-\sqrt{x-1)}=sqrt(2x) ?
The answer to sqrt(3-\sqrt{x-1)}=sqrt(2x) is x= 5/4
Solve for x: sqrt(3-\sqrt{x-1)}=sqrt(2x)
The solution is x= 5/4