Question

Решить уравнение 1) √x= 0,1 2) 5√x=10 3)√x+4=0 4)5-2√x=0​

Answer 1

Ответ:

1. х=0.01

2.х=4

3. нет корней

4. 25/4

Объяснение:

Answer 2

1. √x = 0.1

To solve this equation, we can square both sides:

(√x)² = (0.1)² x = 0.01

Therefore, the solution to the equation √x = 0.1 is x = 0.01.

2. 5√x = 10

To solve this equation, we need to isolate the square root term. We can do this by dividing both sides of the equation by 5:

(5√x) / 5 = 10 / 5 √x = 2

Now, square both sides to eliminate the square root:

(√x)² = 2² x = 4

Therefore, the solution to the equation 5√x = 10 is x = 4.

3. √x + 4 = 0

To solve this equation, we need to isolate the square root term. We can do this by subtracting 4 from both sides of the equation:

√x = -4

Since the square root of a number cannot be negative, there are no real solutions to this equation.

4. 5 - 2√x = 0

To solve this equation, we can isolate the square root term by subtracting 5 from both sides:

-2√x = -5

Next, divide both sides of the equation by -2:

√x = 5/2

Now, square both sides to eliminate the square root:

(√x)² = (5/2)² x = (5/2)² x = 25/4

Therefore, the solution to the equation 5 - 2√x = 0 is x = 25/4.