Question

Find numbers such that product is -96 and sum is 10

Answer 1

no.s are 16 and 6 .
I hope this helps you
please mark it as brainiest answer

Answer 2

Hi ,

Let x and y are two numbers,

xy = -96 ----( 1 )

x + y = 10

y = 10 - x ----( 2 )

Put ( 2 ) in equation ( 1 ), we get

x ( 10 - x ) = -96

10x - x² = -96

0 = x² -10x -96

x² -10x -96 = 0

x² - 16x + 6x -96 = 0

x( x - 16 ) + 6 ( x - 16 ) = 0

( x - 16 )( x + 6 ) = 0

x - 16 = 0 or x + 6 = 0

x = 16 or x = -6

Put x value in equation ( 2 ) we get,

y = 10 - 16 or y = 10 - ( - 6 )

y = -6 or y = 16

( x , y ) = ( 16 , -6 )

or

( x , y ) = ( -6 , 16 )

I hope this helps you.

:)