What is the answer to sqrt(2-x^2+2x)+sqrt(-x^2-6x-8)=1+sqrt(3) ?

The answer to sqrt(2-x^2+2x)+sqrt(-x^2-6x-8)=1+sqrt(3) is No Solution for x\in\mathbb{R}

Solve for x: sqrt(2-x^2+2x)+sqrt(-x^2-6x-8)=1+sqrt(3)

The solution is No Solution for x\in\mathbb{R}

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2 - x^{2} + 2 x + - x^{2} - 6 x - 8 = 1 + 3

No Solution for x \in R

Solution steps

2 - x^{2} + 2 x + - x^{2} - 6 x - 8 = 1 + 3

Remove square roots

- x^{2} - 6 x - 8 = 16 x^{2} - 83 x^{2} + 36 x - 203 x + 21 - 123

Add

x^{2}

to both sides

2 - x^{2} + 2 x + x^{2} = - x^{2} - 6 x + 23 - 2 - x^{2} - 6 x - 8 - 23 - x^{2} - 6 x - 8 - 4 + x^{2}

Simplify

2 + 2 x = - 6 x + 23 - 2 - x^{2} - 6 x - 8 - 23 - x^{2} - 6 x - 8 - 4

Switch sides

- 6 x + 23 - 2 - x^{2} - 6 x - 8 - 23 - x^{2} - 6 x - 8 - 4 = 2 + 2 x

Move

6 x

to the right side

23 - 2 - x^{2} - 6 x - 8 - 23 - x^{2} - 6 x - 8 - 4 = 2 + 8 x

Move

23

to the right side

- 2 - x^{2} - 6 x - 8 - 23 - x^{2} - 6 x - 8 - 4 = 2 + 8 x - 23

Move

4

to the right side

- 2 - x^{2} - 6 x - 8 - 23 - x^{2} - 6 x - 8 = 8 x + 6 - 23

Factor

- 2 - x^{2} - 6 x - 8 - 23 - x^{2} - 6 x - 8 : - 2 (1 + 3) - x^{2} - 6 x - 8

- 2 (1 + 3) - x^{2} - 6 x - 8 = 8 x + 6 - 23

Divide both sides by

- 2 (1 + 3)

- x^{2} - 6 x - 8 = \frac{( 1 - 3 ) ( 4 x + 3 - 3 )}{2}

Simplify

\frac{( 1 - 3 ) ( 4 x + 3 - 3 )}{2} : - 23 + 2 x (1 - 3) + 3

- x^{2} - 6 x - 8 = - 23 + 2 x (1 - 3) + 3

Solve

- x^{2} - 6 x - 8 = 16 x^{2} - 83 x^{2} + 36 x - 203 x + 21 - 123 :

No Solution for

x \in R

No Solution for x \in R

\frac{( x - 1 - b - c )}{a} + \frac{( x - 1 - c - a )}{b} + \frac{( x - 1 - a - b )}{c} = 3

2 5 - 4 x = - 12

4 x - 3 + 2 x + 3 = 6

3 2 x + 4 2 x = 10 + 2 2 x

14 x - 7 = x + 3

What is the answer to sqrt(2-x^2+2x)+sqrt(-x^2-6x-8)=1+sqrt(3) ?
The answer to sqrt(2-x^2+2x)+sqrt(-x^2-6x-8)=1+sqrt(3) is No Solution for x\in\mathbb{R}
Solve for x: sqrt(2-x^2+2x)+sqrt(-x^2-6x-8)=1+sqrt(3)
The solution is No Solution for x\in\mathbb{R}