Question

Write the pair of integer in which multiplication is (-45) and difference is 12​

Answer 1

Answer:

No such pair of integers exists

Step-by-step explanation:

Let the integers be x & y, x being the bigger integer

Then:

(1): x - y =  12, y = x - 12

(2): xy = -45

Replacing from (1):

(x - 12)x = -45

$x^{2} - 12x + 45 = 0$

Solve by either factorization (mid term splitting) or by using the quadratic formula ($x = \frac{-b+\sqrt{b^{2}-4ac }}{2a} or \frac{-b-\sqrt{b^{2}-4ac }}{2a}$)

$D = b^{2} - 4ac ={144 - 4*1*45} = -36 <0$

Hence no real roots exist