Question

what does it mean if an equation has one solution?
a. no value of x satisfies the equation.
b. exactly one value of x satisfies the equation.
c. some values of x satisfy the equation.
d. any value of x satisfies the equation.

Explanation:

When an equation has one solution, it means there is exactly one value of the variable (in this case \(x\)) that makes the equation a true statement. For example, in a linear equation \(ax + b=0\) (\(a
eq0\)), there is exactly one solution \(x =-\frac{b}{a}\). Options a (no value), c (some values - which could imply more than one), and d (any value - which would mean infinitely many solutions) are incorrect interpretations of what "one solution" means.

Answer:

B. Exactly one value of \(x\) satisfies the equation.