Write the pair of integer in which multiplication is (-45) and difference is 12.
Answers
Answer:
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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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