Question

Salve the equation 2x - 5 √x + 2 = √x
a) x=4
b) x=1
c) =9
d) x=16

Answer 1

To solve the equation 2x - 5 √x + 2 = √x, simplify the equation, combine like terms, and solve for x. The correct solution is x = 4/9.

Step-by-step explanation:

To solve the equation 2x - 5 √x + 2 = √x, we can follow the steps below:

1. Multiply both sides of the equation by √x: 2x√x - 5x + 2√x = x
2. Combine the like terms: (2 + 2)√x - 5x = x
3. Simplify: 4√x - 5x = x
4. Add 5x to both sides of the equation: 4√x = 6x
5. Divide both sides of the equation by 6x: √x = 4/6
6. Square both sides of the equation to solve for x: x = (4/6)^2
7. Simplify: x = 16/36
8. Reduce the fraction: x = 4/9

So, the correct solution to the equation is x = 4/9.