The product of two numbers is 88. the sum of the two numbers is 26. what are the numbers

let's take the numbers a and b

setup a system of equations:

a+b=26

a*b=88

now solve it using substitution:

1) b=88/a

2)(substitute) a+ 88/a = 26  

3)(add fractions) (a^2+88)/a=26

4)(get polynominal) a^2-26a+88=0

5)(factor) (a-22)(a-4)=0

6) (solve) a=22 OR a = 4

7) (after checking) a= 22 or a=4

and b=22 or b=4

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right