Question

Two numbers when multiplied together they are 12 and the same two numbers when added or subtracted gives 5​

Answer 1

Answer:

5 + i times the square root of 23 all over 2 and 5 - i times the square root of 23 all over 2

Step-by-step explanation:

Let numbers be x and y:

i) 2 numbers when multiplied together gives 12

xy = 12

ii) Same 2 numbers when added or subtracted gives 5 (I choose addition as an example)

x + y = 5

First we have to get the x for xy = 12, so..

x + y = 5 is going to be x = 5 - y

Substitute x in xy = 12, so..

xy = 12 is going to be..

(5 - y)y = 12

5y - y^2 = 12

Solve for y in 5y - y^2 = 12 so..

y = 5 + i times the square root of 23 all over 2, 5 - i times the square root of 23 all over 2

If x is equal to 5 - (5 + i times the square root of 23 all over 2),

Then x is equal to 5 - i times the square root of 23 all over 2.

Therefore, the two numbers are 5 + i times the square root of 23 all over 2 and 5 - i times the square root of 23 all over 2

Hope this helps!