To solve the equation x + √x = 25.8, subtract x from both sides and square both sides to eliminate the square root. Solve the resulting quadratic equation to find the values of x.
To solve the equation x + √x = 25.8, we need to isolate √x. Subtracting x from both sides of the equation gives us: √x = 25.8 - x. Now, we can square both sides to eliminate the square root: (√x)^2 = (25.8 - x)^2. Simplifying the right side, we get: x = 664.84 - 51.6x + x^2. Rearranging the terms, we have: x^2 - 52.6x + 664.84 = 0. This is a quadratic equation that can be solved using the quadratic formula. Plugging in the values, we find two solutions: x = 4.2 and x = 48.4.
The probable question may be:
The sum of a number x and its square root is equal to 25.8. Which of the following options represents the value of x?
Options:
A) 25.8
B) 12
C) 6
D) 14.7
Additional Information: Consider the equation x+root(x)=25.8.