Answer:
infinite solutions
Step-by-step explanation:
note the expression inside the radical is a perfect square, that is
x² - 14x + 49 = (x - 7)², then
[tex]\sqrt{x^2-14x+49}[/tex] = x - 7
[tex]\sqrt{(x-7)^2}[/tex] = x- 7, that is
x - 7 = x - 7
Since both sides are the same then any value of x will make the equation true.
The equation has infinite solutions
