Which are the solutions of x^2 = –5x + 8?

 The required solution is

Step-by-step explanation:  We are given to solve the following differential equation :

We will be using the method of completing the square to solve the given equation.

From equation (i), we have

Thus, the required solution is

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.