Question

8 times a certain number is added to 5 times of a second number to give 184. the first number minus the second number is -3. find the numbers​

Answer 1

Answer:

Looking at 25a%5E4%2B40a%5E2%2B16 we can see that the first term is 25a%5E4 and the last term is 16 where the coefficients are 25 and 16 respectively.

Now multiply the first coefficient 25 and the last coefficient 16 to get 400. Now what two numbers multiply to 400 and add to the middle coefficient 40? Let's list all of the factors of 400:

Factors of 400:

1,2,4,5,8,10,16,20,25,40,50,80,100,200

-1,-2,-4,-5,-8,-10,-16,-20,-25,-40,-50,-80,-100,-200 ...List the negative factors as well. This will allow us to find all possible combinations

These factors pair up and multiply to 400

1*400

2*200

4*100

5*80

8*50

10*40

16*25

20*20

(-1)*(-400)

(-2)*(-200)

(-4)*(-100)

(-5)*(-80)

(-8)*(-50)

(-10)*(-40)

(-16)*(-25)

(-20)*(-20)

note: remember two negative numbers multiplied together make a positive number

Now which of these pairs add to 40? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to 40

Explanation: