Question

write the pair of integers in which multiplication is (-45) and difference is 12​

Answer 1

The correct question is:-

Write the pair of integers in which multiplication is 45 and difference is 12​

Given:-

A pair of integers on which multiplication gives 45 and their difference is 12

To Find:

The value of the integers

Solution:-

Let the integers be x and y

According to the given condition,

x.y = 45 ___(i)

x - y = 12​ ___(ii)

From eq (i),

x = 45/y _____(iii)

Putting the value of eq(iii) in eq (ii), we get

45/y - y = 12

⇒ (45 - y²)/y = 12

⇒ y² + 12y - 45 = 0

By middle term splitting,

y² + (15y - 3y) - 45 = 0

⇒ y² + 15y - 3y - 45 = 0

⇒ y (y + 15) - 3 (y + 15) = 0

⇒ y = 3

x = (45/y) = 15

Hence, the pair of integers are 3, 15

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) .

[ in order to take difference value , it will be 18. ]

Learn more :-

If 55 kg 200 grams of grains is to be distributed among 12 students equally. How much each student will get

https://brainly.in/question/37090237

How many pieces of 2/5

kg cake can be cut from 10 kg of cake?

https://brainly.in/question/37056476