What is the answer to sqrt(5-x+1)=x-2 ?

The answer to sqrt(5-x+1)=x-2 is x=(3+sqrt(17))/2

Solve for x: sqrt(5-x+1)=x-2

The solution is x=(3+sqrt(17))/2

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5 - x + 1 = x - 2

x = \frac{3 + 17}{2}

Decimal Notation

x = 3.56155 \dots

Solution steps

5 - x + 1 = x - 2

Square both sides:

- x + 6 = x^{2} - 4 x + 4

- x + 6 = x^{2} - 4 x + 4

Solve

- x + 6 = x^{2} - 4 x + 4 : x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

Verify Solutions:

x = \frac{3 + 17}{2}

True

, x = \frac{3 - 17}{2}

False

The solution is

x = \frac{3 + 17}{2}

8 x - 7 = 3

5 x + 6 = 1

35 = 35.09 1^{2} + v^{2}

8 x - 7 = x

4 x^{2} + (45) = 3 x

What is the answer to sqrt(5-x+1)=x-2 ?
The answer to sqrt(5-x+1)=x-2 is x=(3+sqrt(17))/2
Solve for x: sqrt(5-x+1)=x-2
The solution is x=(3+sqrt(17))/2