Question

If the sum of two numbers is 13 and their product is 42 determine the number​

Answer 1

Answer: 6, 7

Explanation:

• Number #1 = x
• Number #2 = y

• x · y = 42
• x + y = 13 ⇒ y = 13 - x

x · y = 42

x · (13 - x) = 42

13x - x² = 42

-x² + 13x - 42 = 0

(-1)(-x² + 13x - 42) = 0(-1)

x² - 13x + 42 = 0

(x - 6)(x - 7) = 0

• x₁ = 6
• x₂ = 7

y = 13 - x

• y₁ = 13 - x₁ = 13 - 6 = 7
• y₂ = 13 - x₂ = 13 - 7 = 6

Answer 2

the answer is 7 and 6

7+6=13
7 x 6=42