One number is 5 greater than another. the product of the numbers are 84. find both the two positive and two negative sets of numbers.

GIVEN

one number is greater than the other by 5.

the product of both are 84.

find out the number.

To proof =

let assume that one number be x

other number be x+5

the equation becomes

⇒ x(x+8 ) = 84

⇒ x²+5x-84 =0

⇒ x²+ 12x-7x-84 = 0

⇒( x-7)(x+12)=0

⇒x=7, x=-12

now the positive numbers are  7  and 12

now the negative numbers are -12 and -7

hence proved

the answer is 489

step-by-step explanation: