What is the answer to 1+(1+x)^{(1/2)}=2x ?

The answer to 1+(1+x)^{(1/2)}=2x is x= 5/4

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1+(1+x)^{(1/2)}=2x

1 + (1 + x)^{(\frac{1}{2})} = 2 x

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

1 + (1 + x)^{(\frac{1}{2})} = 2 x

Remove square roots

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

Solve

1 + x = 4 x^{2} - 4 x + 1 : x = \frac{5}{4}, x = 0

x = \frac{5}{4}, x = 0

Verify Solutions:

x = \frac{5}{4}

True

, x = 0

False

The solution is

x = \frac{5}{4}

x x = 8

x - x + 2 = 4

x^{(- 0.23)} = 0.238

15 y - 5 y = 0

What is the answer to 1+(1+x)^{(1/2)}=2x ?
The answer to 1+(1+x)^{(1/2)}=2x is x= 5/4
Solve for x: 1+(1+x)^{(1/2)}=2x
The solution is x= 5/4