What is the answer to ((sqrt(2x+7)))/((sqrt(x+2)))=1 ?

The answer to ((sqrt(2x+7)))/((sqrt(x+2)))=1 is No Solution for x\in\mathbb{R}

Solve for x: ((sqrt(2x+7)))/((sqrt(x+2)))=1

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

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\frac{( 2 x + 7 )}{( x + 2 )} = 1

No Solution for x \in R

Solution steps

\frac{( 2 x + 7 )}{( x + 2 )} = 1

Multiply both sides by

x + 2

\frac{2 x + 7}{x + 2} x + 2 = 1 \cdot x + 2

Simplify

2 x + 7 = x + 2

Square both sides:

2 x + 7 = x + 2

2 x + 7 = x + 2

Solve

2 x + 7 = x + 2 : x = - 5

x = - 5

Verify Solutions:

x = - 5

False

The solution is

No Solution for x \in R

2 - x = 3 - x

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

x + 15 - x + 3 = 2

x + 4 x + 1 = 0

x^{2} - 6 = 2 2 x

What is the answer to ((sqrt(2x+7)))/((sqrt(x+2)))=1 ?
The answer to ((sqrt(2x+7)))/((sqrt(x+2)))=1 is No Solution for x\in\mathbb{R}
Solve for x: ((sqrt(2x+7)))/((sqrt(x+2)))=1
The solution is No Solution for x\in\mathbb{R}