Question

5√x-5(черта деления)√x=24

Answer 1

5√x-5(черта деления)√x=24 (умножим все на √x)

5*√x-5=24*√x (возведем все в квадрат)

 

25(x-5)=576x

25x-125=576x

25x-576x=125

x = - 125/551

 

Ответ: х= - 125/551

 

Вот и все, если есть вопросы, обращайтесь.

Answer 2

(5*Vx-5)/Vx=24

5*Vx-5=24*Vx

25(x-5)=576x

25x-125-576x=0

-551x-125=0

x=-125/551 (~-0.226860254083485)

Answer 3

To solve this equation, we'll need to isolate the square root term with the variable on one side of the equation, and then square both sides to eliminate the radical. Here are the steps:

1. Add 5√x to both sides of the equation: 5√x - 5√x + 5/√x = 24 + 5/√x

2. Simplify the left-hand side by finding a common denominator for the two terms: (5-5√x)/√x = 5(1-√x)/√x

3. Multiply both sides of the equation by the square root of x to eliminate the fraction: 5(1-√x) = 24√x + 5

4. Expand the left-hand side: 5 - 5√x = 24√x + 5

5. Subtract 5 from both sides of the equation: -5√x = 24√x

6. Subtract 24√x from both sides of the equation: -29√x = 0

7. Divide both sides of the equation by -29: √x = 0

8. Square both sides of the equation to solve for x: x = (√x)^2 = 0^2 = 0

Therefore, the solution to the equation is x = 0.