Answer:
[tex]637[/tex]
Step-by-step explanation:
Step 1: Set Up System of Equations
[tex]a + b = 13[/tex]
[tex]ab = 40[/tex]
Solve for a in the first equation
[tex]a = 13 - b[/tex]
Subsitur that in for the 2nd equation
[tex](1 3 - b)(b) = 40[/tex]
[tex] - b {}^{2} + 13b = 40[/tex]
[tex] - {b}^{2} + 13b - 40[/tex]
[tex] - (b - 5)(b - 8)[/tex]
Set each monomial to zero
Think of a number that adds to 13 and multiply to 40.
Th
[tex]b = 5[/tex]
[tex]b = 8[/tex]
So the answer is 5 and 8. Remember factos are interchangeable so a and b can be either 8 or 5.
Cubed both 5 and 8.
[tex]5 {}^{3} + {8}^{3} [/tex]
[tex]125 + 512 = 637[/tex]
