Question

The product of a number decreased by 1 and increased by 8 is 22. Find all the numbers that satisfy this condition.

Answer 1

Answer would be a solution set.

Answer 2

lets call the number \(x\) so if you decrease it by 1 you get \(x-1\) and if you increase it by 8 you get \(x+8\)
the product of the two numbers is \((x-1)(x+8)\) which you know is 22 so set
\[(x-1)(x+8)=22\] and solve the resulting quadratic equation

Answer 3

\[(x-1)(x+8)=22\\
\]
get a quadratic

Answer 4

multiply out, then set the whole thing equal to zero and solve

Answer 5

using quadratic formula i got x= 3,-10

Answer 6

yep.. two answers

Answer 7

easy to check \((3-1)(3+8)=2\times 11=22\) and \((-10-1)(-10+8)=-11\times -2=22\)

Answer 8

Thank you.