Question

If the difference of two numbers is 5 and their product is 84, then the numbers are

Answer 1

Answer:

12 & 7 im sure BTW

Step-by-step explanation:

Answer 2

Answer:

The two set of a and b are (12,7) and (-7,-12)

Step-by-step explanation:

As per the question,

We need to find the numbers whose difference is 5 and product is 84.

As we know, Given info is that:

Difference of numbers = 5

Product of numbers = 84

Lets assume that:

Let the numbers be a and b.

So, according to the infomation, the two equations formed are(assuming a as the greater number):

$a-b=5\\ab=84$

So,

$b=\frac{84}{a}$

Inserting in first equation

$a-\frac{84}{a} =5\\a^{2} -84-5a=0\\a^{2}-12a+7a-84=0\\a(a-12)+7(a-12)=0\\(a-12)(a+7)=0$

So, the two values of a we get are 12,-7.

Hence,

The two set of a and b are (12,7) and (-7,-12)

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