Question

A number whose sum is – 4 and product - 96​

Answer 1

Answer:

As their sum is 4 and their product is -96. Therefore the numbers are 8 and -12.

Answer 2

Let the numbers be x and y . As their sum is 4 and their product is -96.

=> x + y = -4 and xy = -96

x + y = -4

=> x = -4 - y

substitute this in xy = -96

=> (-4 - y)y = -96

=> y² - 4y - 96 = 0

=> y²+ 12y - 8y - 96 =0

=> y(y + 12) - 8(y+12) =0

=> (y-8)(y+12) = 0

y = 8 or -12

x = -12 or -8

Therefore the numbers are -8 and -12