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Sonja [21]
3 years ago
5

If a+b=13, and ab-40, then find a3+b3​

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

637

Step-by-step explanation:

Step 1: Set Up System of Equations

a + b = 13

ab = 40

Solve for a in the first equation

a = 13 - b

Subsitur that in for the 2nd equation

(1 3 - b)(b) = 40

- b {}^{2}  + 13b = 40

-  {b}^{2}  + 13b - 40

- (b - 5)(b - 8)

Set each monomial to zero

Think of a number that adds to 13 and multiply to 40.

Th

b = 5

b = 8

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.

5 {}^{3}  +  {8}^{3}

125 + 512 = 637

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