What is the answer to x-2=sqrt(-2x+14) ?

The answer to x-2=sqrt(-2x+14) is x=1+sqrt(11)

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x-2=sqrt(-2x+14)

x - 2 = - 2 x + 14

x = 1 + 11

Decimal Notation

x = 4.31662 \dots

Solution steps

x - 2 = - 2 x + 14

Square both sides:

x^{2} - 4 x + 4 = - 2 x + 14

x^{2} - 4 x + 4 = - 2 x + 14

Solve

x^{2} - 4 x + 4 = - 2 x + 14 : x = 1 + 11, x = 1 - 11

x = 1 + 11, x = 1 - 11

Verify Solutions:

x = 1 + 11

True

, x = 1 - 11

False

The solution is

x = 1 + 11

9 x^{2} - 6 x + 1 = x + 2

5 x^{2} + 8 x + 10 = x^{4} + 4

[1.38 (8 + x)^{\frac{1}{2}}] - 1 = 0

2 + 4 x = - 1

\frac{400}{800} = \frac{80}{t _{2}}

What is the answer to x-2=sqrt(-2x+14) ?
The answer to x-2=sqrt(-2x+14) is x=1+sqrt(11)
Solve for x: x-2=sqrt(-2x+14)
The solution is x=1+sqrt(11)