Aastha multiplied two numbers and got - 4 as the product. She then subtracted the second number from the first and got the answer as 5.What are the two numbers?
Answers
Answered by
30
Heya!!!
Here's your answer friend,
According to the question,
Let one number be x and other be y
First condition : x X y = -4
xy = -4 .....(1)
and
2nd condition : x - y = 5 ... ( let x > y) ....(2)
from 2nd equation we get,
x = 5 + y ......(3)
Therefore, by substituting (3) in eq(1)
we get,
xy = -4
(5 + y)y = -4
5y + y² = -4
y² + 5y = -4
y² + 5y +4 = 0
y² + 4y + y + 4 =0
y(y + 4) + 1(y + 4) = 0
(y + 4)( y + 1) = 0
y = -4 or y = -1 is the required answer
Therefore by substituting y = -4 in eq(1)
xy = -4
x (-4) =-4
x = 1
again by substituting
y = -1 in eq (1)
we get,
xy = -4
x (-1) = -4
-x = -4
x = 4
Therefore, the two numbers are -4 and 1 or -1 or 4
Hope it helps you : )
Here's your answer friend,
According to the question,
Let one number be x and other be y
First condition : x X y = -4
xy = -4 .....(1)
and
2nd condition : x - y = 5 ... ( let x > y) ....(2)
from 2nd equation we get,
x = 5 + y ......(3)
Therefore, by substituting (3) in eq(1)
we get,
xy = -4
(5 + y)y = -4
5y + y² = -4
y² + 5y = -4
y² + 5y +4 = 0
y² + 4y + y + 4 =0
y(y + 4) + 1(y + 4) = 0
(y + 4)( y + 1) = 0
y = -4 or y = -1 is the required answer
Therefore by substituting y = -4 in eq(1)
xy = -4
x (-4) =-4
x = 1
again by substituting
y = -1 in eq (1)
we get,
xy = -4
x (-1) = -4
-x = -4
x = 4
Therefore, the two numbers are -4 and 1 or -1 or 4
Hope it helps you : )
manyaprincess:
but answer is 1 and-4
Answered by
4
Answer:
= 1 - ( - 4 )
= 5
Step-by-step explanation:
answer = 1,-4
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