Question

Write the pair of integer in which multiplication is (-45) and difference is 12​

Answer 1

15 x -3 = -45 and difference is 12

Answer 2

Correct Question :- Write the pair of integer in which multiplication is (-45) and sum is 12. ?

Solution :-

Let us assume that, pair of integers have values x and y .

so,

→ x + y = 12

→ x = (12 - y) .

also,

→ x * y = (-45)

→ (12 - y) * y = (-45)

→ 12y - y² = (-45)

→ y² - 12y - 45 = 0

→ y² - 15y + 3y - 45 = 0

→ y(y - 15) + 3(y - 15) = 0

→ (y - 15)(y + 3) = 0

→ y = 15 or (-3) .

therefore,

if y = 15 => x = 12 - 15 = (-3)

if y = (-3) => x = 12 - (-3) = 15 .

Hence, pair of integer are (15, -3) or (-3, 15) .

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