SOLUTION: If a number is added to its square, the sum is 156. Find the number. & One number is 3 less than twice another number. The product of the two numbers is 5. Find the number

Question 31622: If a number is added to its square, the sum is 156. Find the number.
&
One number is 3 less than twice another number. The product of the two numbers is 5. Find the numbers.
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!
a number = x
the number squared = x^2

Factor

or
or
NEXT
m*n=5
m=2n-3
Substitute the second equation into the first
distribute the n
subtract 5
factor

or
or
plug each one of these back into the first equation
or
or
or
or
so your soultions are:
5/2 and 2
OR
-1 and -5

RELATED QUESTIONS
one positive number is 3 more than twice another. if the square of the smaller is added... (answered by rfer)

if a number is added to twice its square, the result is 6. find the... (answered by Earlsdon)

The sum of a number and its square is 156 . Find the... (answered by Cromlix)

one number is less than 10 another. twice thier sum is 60. find the number? (answered by ewatrrr)

If -16 is added to a number, the sum will be 8 times the number. Find the number?... (answered by josgarithmetic,ankor@dixie-net.com)

One number is 5 greater than another number. If the smaller number is added to twice the... (answered by sachi)

if 27 is added to a number, the result is 42 less than twice the number. find the... (answered by bluemockingjay7)

if 19 is added to a number the result is 37 less than twice the number, find the... (answered by rfer)

If 21 is added to a number, the result is 38 less than twice the number. Find the number (answered by farohw)