SOLUTION: The square of a number is equal to ninety more than the number. Find all such numbers.

Algebra.Com
Question 1171611: The square of a number is equal to ninety more than the number. Find all such numbers.
Answer by ikleyn(52799)   (Show Source): You can put this solution on YOUR website!
.

The problem says that

    n^2 = n + 90


Simplify and solve

    n^2 - n - 90 = 0

    (n-10)*(n+9) = 0.


There are two answers:  n= 10  (positive)  and  n= -9 (negative).


Both satisfy the problem's description.

Solved.



RELATED QUESTIONS

The square of a number is equal to twenty more than the number. Find all such... (answered by Fombitz,solver91311)
The square of a number is equal to 15 more than the twice number. Find all such number. (answered by ikleyn)
if 13 is added to the square of a number the result is ninety-four. find all... (answered by stanbon)
What is thirty more than the square of a number is eleven times the number? Find all such (answered by robertb)
six more than the square of a number is seven times the nimber. find all such... (answered by stanbon)
Five more than the square of a number is two more than four times the number. Find al... (answered by solver91311)
One less than the square of a number is 143. Find all such... (answered by Flannery)
Solve by factoring and using the principle of zero products. Twenty more than the... (answered by Earlsdon)
Please help me solve this probelm five more than the square of a number is six times (answered by sudhanshu_kmr)