Question

(1) Write the pair of integer in which multiplication is (45) and difference is 12.

(2) Find the value using distributive property:
{-65) x 25 + 25 x (-35)

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Answer 1

Answer:

(1) Two pairs: (-3, -15) & (15, 3)

(2) -2500

Step-by-step explanation:

(1)

let one of the integers be x, then the other is (x-12) as their difference is 12

x(x-12) = 45 gives you a quadratic equation

$x^{2} -12x -45 = 0\\x^{2} + 3x - 15x -15(3) = 0\\(x+3)(x-15) = 0$

x = -3 or 15

y = x-12 = -15 or 3

(2)

(-65)*25 + 25*(-35)

25(-65-35) = 25(-100) = -2500