write the pair of integer in which multiplication is (-45)and difference is 12
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Step-by-step explanation:
SOLUTION
TO DETERMINE
The pair of integer in which multiplication is (-45) and difference is 12
EVALUATION
Here it is given that for the given pair of integers difference is 12
Let the integers are x and x +
12
Now their multiplication is 45
So by the given condition
x(x+ 12) = 45
» x2 + 12x = 45
x2 + 12x 45 = 0
x2 + 15х Зх — 45 — 0 -
+ x(x+ 15) – 3(x+15) = 0 -
(x+15)(x – 3) = 0
x=-15, 3
When x = - 15 the pair of integers are - 15 , - 3
When x = 3 the pair of integers
are 3, 15
FINAL ANSWER
Hence the required pair of integers are
- 15 , - 3
• 3, 15
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