Respuesta :
Answer:
x = 4
x = 10
Explanation:
To found the solutions, we need to factorize the expression:
x² - 14x + 40 = 0
So, we need to find two numbers such that the product of these numbers is 40 and the sum of these numbers is -14.
The numbers are -4 and -10, so the factorization of the expression is:
x² - 14x + 40 = 0
(x - 4)(x - 10) = 0
Now, the product of two numbers is zero if at least one of the numbers is zero. Therefore, the solutions of the expression are:
x - 4 = 0 -------> x = 4
or
x - 10 = 0 ------> x = 10
So, the solutions from least to greatest are:
x = 4
x = 10
