SOLUTION: Find three consecutive integers such that the square of the largest is 22 more than the product of the smaller two. Write an equation, and solve.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find three consecutive integers such that the square of the largest is 22 more than the product of the smaller two. Write an equation, and solve.      Log On


   

Question 1133862: Find three consecutive integers such that the square of the largest is 22 more than the product of the smaller two. Write an equation, and solve.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

The integers: system%28x-1%2C+x%2C+x%2B1%29

%28x%2B1%29%5E2 = 22%2Bx%28x-1%29
-
x%5E2%2B2x%2B1= x%5E2-x%2B22
2x%2B1=22-x
3x%2B1=22
3x=21

x = 7.

ANSWER. The integers are 6, 7, and 8.

SOLVED.