Problema Solution

A positive real number is 4 more than another. When -8 times the smaller is added to the square of the larger, the result is 70. Find the numbers.

Answer provided by our tutors

Let

x = the smaller number

x + 4 = the larger number

(-8)*x + (x + 4)^2 = 70

........

click here to see the equation solved for x

........

x1 = - 7.35

x2 = 7.35 

There are 2 solutions:

1st solution: -7.35 and -7.35 + 4 = -3.35

2nd solution: 7.35 and 7.35 + 4 = 11.35