Answer:
The two numbers are - 12 and - 12 .
Step-by-step explanation:
Let the two numbers be x and y then
By the question
x * y = 144
or x = 144 / y ....... I)
Again
x + y = - 24
Or 144/y + y = - 24
or, ( 144 + y²) / y = - 24
or, 144 + y² = - 24y
y² + 24y + 144 = 0
y² + ( 12 + 12 ) y + 144 =0
y² + 12y + 12y + 144 = 0
y(y + 12 ) + 12 ( y + 14) = 0
( y + 12 ) ( y + 12 ) = 0
Either
y + 12 =0
y = - 12
Now
x = 144 / - 12 = - 12
Therefore the two numbers are - 12 and - 12 .
Hope it will help :)❤
