Asked by Mandy
The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers. Explain your working
Answers
Answered by
drwls
Let x be the larger number
x*(x-9) = 162
Rearrange and factor
x^2 - 9x -162 = 0
(x+9)(x - 18) = 0
Take it from there.
There will be two pairs of solutions.
x*(x-9) = 162
Rearrange and factor
x^2 - 9x -162 = 0
(x+9)(x - 18) = 0
Take it from there.
There will be two pairs of solutions.
Answered by
Dr Russ
By symbols
A-B=9
AxB=162
so A=9+B
(9+B)B=162
9B+B^2=162
B^2+9B-162=0
so B=-18 or 9
correspondingly from AxB=162
A=-9 or 18
check against A-B=9
-9--18=9
18-9=9
A-B=9
AxB=162
so A=9+B
(9+B)B=162
9B+B^2=162
B^2+9B-162=0
so B=-18 or 9
correspondingly from AxB=162
A=-9 or 18
check against A-B=9
-9--18=9
18-9=9
Answered by
Ariel
Nothing makes sense you didn't explain it properly at all this website dosn't help and it wasted my time trying to understand everything keep trying.
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