Question

The product of three integers is (−85). If the two integers are (−17) and (−5), find the third​

Answer 1

Integers are just whole numbers: positive, negative, and zero.

I = {-∞,...,-3, -2, -1, 0, 1, 2, 3, ..., ∞}

Let x = 1st integer

Let y = 2nd integer

x = 3y + 17 {equation 1}

xy = -24 {equation 2}

Substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

From quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6 or y = (-17-1)/6

y = -16/6 or y = -18/6

y = -2 2/3 or y = -3

Since we are dealing with integers...

y = -3

x = 3y+17 = -9+17 = 8

The integers are -3, 8

Answer 2

Answer:

let the third integer be x

so (x)*(-17)*(-5)=-85

=>(x)(85)=-85

=>x= -85/85

=>x= -1