SOLUTION: 8 more than the square number is 9 times the number. find the number.

Algebra.Com
Question 116038: 8 more than the square number is 9 times the number. find the number.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!

x = the number
:
Just write what it says
"8 more than the square number is 9 times the number.
x^2 + 8 = 9x
:
x^2 - 9x + 8 = 0; our old friend, the quadratic equation
(x - 1)(x - 8) = 0
x = +1
x = +8
:
Check both solutions in the original equation


RELATED QUESTIONS

sixteen more than the square of a number is 8 times the number. find the... (answered by Paul)
The square of a number is 20 more than 8 times the number. Find the... (answered by unlockmath)
Four times the square of a number is 45 more than 8 times the number. What is the... (answered by nyc_function)
15 more than the square of a number is 8 times the... (answered by solver91311)
The square of a negative number is 35 more than 2 times the negative number. Find the... (answered by ankor@dixie-net.com)
Ten more than the square of a number of a number is seven times the number. Find ALL... (answered by Fombitz)
12 times the square of a positive number is five more than four times the same number.... (answered by Fombitz)
What is the answer to 'the square of a number is 70 more than 9 times the number. Find... (answered by drk,palanisamy)
find the number such that its square is 21 more than four times the original... (answered by checkley79)