What is the answer to sqrt(1+x)=3-sqrt(10x-2) ?

The answer to sqrt(1+x)=3-sqrt(10x-2) is x=(2(7-sqrt(22)))/9

Solve for x: sqrt(1+x)=3-sqrt(10x-2)

The solution is x=(2(7-sqrt(22)))/9

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1 + x = 3 - 10 x - 2

x = \frac{2 ( 7 - 22 )}{9}

Decimal Notation

x = 0.51324 \dots

Solution steps

1 + x = 3 - 10 x - 2

Remove square roots

81 x^{2} + 108 x + 36 = 360 x - 72

Solve

81 x^{2} + 108 x + 36 = 360 x - 72 : x = \frac{2 ( 7 + 22 )}{9}, x = \frac{2 ( 7 - 22 )}{9}

x = \frac{2 ( 7 + 22 )}{9}, x = \frac{2 ( 7 - 22 )}{9}

Verify Solutions:

x = \frac{2 ( 7 + 22 )}{9}

False

, x = \frac{2 ( 7 - 22 )}{9}

True

The solution is

x = \frac{2 ( 7 - 22 )}{9}

(x - 2) = 4

2 x + 8 = x

- 4 y + 2 20 - y^{2} + 25 = 13

t - 2 + t = 4

What is the answer to sqrt(1+x)=3-sqrt(10x-2) ?
The answer to sqrt(1+x)=3-sqrt(10x-2) is x=(2(7-sqrt(22)))/9
Solve for x: sqrt(1+x)=3-sqrt(10x-2)
The solution is x=(2(7-sqrt(22)))/9