Final answer:
The equation x² - 15 = 0 has two real number solutions, which can be found using the quadratic formula. The solutions are √15 and -√15.
Step-by-step explanation:
To find the number of real number solutions for the equation x² - 15 = 0, we can use the quadratic formula. The quadratic formula is used to find the solutions for equations of the form ax² + bx + c = 0. Applying this formula, we first need to identify the coefficients: a = 1, b = 0, and c = -15.
The quadratic formula is given by x = (-b ± √(b² - 4ac))/(2a). Plugging in our coefficients, we have x = √15 and x = -√15. Therefore, the equation x² - 15 = 0 has two real number solutions: √15 and -√15.