Final answer:
Yes, there is a value for x that makes the equality √x = 0.1 true; the value of x is 0.01. This is found by squaring both sides of the given equality.
Step-by-step explanation:
The question asks if there is a value for x that makes the equality √x = 0.1 true. To find the value of x that satisfies this equality, we simply need to square both sides of the equation because the square root and the square are inverse operations. So, if √x = 0.1, then x must be equal to (0.1)2.
Therefore, x = (0.1)2 = 0.01. This is the value of x that makes the original equality true. There isn't a need for the quadratic formula in this case since the equation is not quadratic but a square root equality.