A

2000004609

Level: 
A
Choose the correct statement about the following equation. \[ \sqrt{7-\sqrt{x-3}}=2 \]
The equation has just one root and the root is an even number.
The equation has no solution in \( \mathbb{R}\).
The equation has just one root and the root is an odd number.
The equation has just two roots.

2000004608

Level: 
A
Choose the correct statement about the following equation. \[ \sqrt{x+5} + \sqrt{2-x}=0 \]
The equation has no solution in \(\mathbb{R}\).
The equation has just one root and the root is an odd number.
The equation has just one root and the root is an even number.
The equation has just two roots.

2000004607

Level: 
A
Choose the correct statement about the following equation. \[ x-2 \sqrt{x-6} =6 \]
The roots of the equation are \(x_1=10\) and \(x_2= 6\).
The only root of the equation is \(x=6\).
The equation has no root in \( \mathbb{R}\).
The roots of the equation are \(x_1=-2\) and \(x_2=6\).

2000004606

Level: 
A
Choose the correct statement about the following equation. \[ 5+ 2\sqrt{x-2}=9\]
The solution of this equation is a number from the interval \( (5;6] \).
The solution of this equation is a number from the interval \( (-1 ; 0 ] \).
The solution of this equation is a number from the interval \( (0;3] \).
The solution of this equation is a number from the interval \( (3;5 ] \).

2000004605

Level: 
A
Choose the correct statement about the following equation. \[ \sqrt{4-x} = 3-\sqrt{x-4}\]
The equation has no solution in \( \mathbb{R}\).
The equation has just one root and the root is an odd number.
The equation has just one root and the root is an even number.
The equation has just two roots.

2000004604

Level: 
A
Choose the correct statement about the following equation. \[ 4+ 2\sqrt{x+4} =x\]
The root of the equation is \(x=12\).
The equation has no root in \( \mathbb{R}\).
The roots of the equation are \(x_1=0\) and \(x_2=12\).
The roots of the equation are \(x_1=4\) and \(x_2= -2\).

2000004602

Level: 
A
Choose the correct statement about the following equation. \[ \sqrt{5x+9} = \sqrt{x+1}\]
The equation has no solution in \( \mathbb{R} \).
The equation has just one root and the root is an odd number.
The equation has just one root and the root is an even number.
The equation has just two roots.

2000004610

Level: 
A
Choose the correct statement about the following equation. \[ \sqrt{(x+5)^2} =x+5\]
The solution of the equation are all \( x \in [ -5; \infty) \).
The solution of the equation are all \( x \in \mathbb{R} \).
The equation has no solution in \(\mathbb{R} \).
The equation has just one root \( x=0\).