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

The answer to 2-x=sqrt(x+5+1) is x=(5-sqrt(33))/2

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

The solution is x=(5-sqrt(33))/2

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2 - x = x + 5 + 1

x = \frac{5 - 33}{2}

Decimal Notation

x = - 0.37228 \dots

Solution steps

2 - x = x + 5 + 1

Square both sides:

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

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

Solve

4 - 4 x + x^{2} = x + 6 : x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

Verify Solutions:

x = \frac{5 + 33}{2}

False

, x = \frac{5 - 33}{2}

True

The solution is

x = \frac{5 - 33}{2}

x, x + y = 9

x, x + y = 7

2 x + 4 - x - 1 = 4

10 9 x = - 50

3 x = 7

What is the answer to 2-x=sqrt(x+5+1) ?
The answer to 2-x=sqrt(x+5+1) is x=(5-sqrt(33))/2
Solve for x: 2-x=sqrt(x+5+1)
The solution is x=(5-sqrt(33))/2