SOLUTION: If the product of two consecutive odd integers is decreased by one-third the lesser integer, the result is 250. Find the integers.
Algebra.Com
Question 66194This question is from textbook merrill algebra two with trigonometry
: If the product of two consecutive odd integers is decreased by one-third the lesser integer, the result is 250. Find the integers.
This question is from textbook merrill algebra two with trigonometry
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
x(x+2)-x/3=250
(x^2+2x)-x/3=250
(3x^2+6x-x)/3=250
3x^2+5x=750
3x^2+5x-750=0 using the quadratic equation we get
x=(-5+-sqrt[5^5-4*3*-750])/2*3
x=(-5+-sqrt[25+9000])/6
x=(-5+-sqrt9025])/6
x=(-5+-95)/6
x=(-5+95)/6
x=90/6
x=15 solution
x=(-5-95)/6
x=-100/6
x=-16 2/3
proof
15(15+2)-15/3=250
15*17-5=250
255-5=250
250=250
RELATED QUESTIONS
if the product of two consecutive odd integers is decreased by one third the lessre the... (answered by stanbon)
If the product of two consecutive even integers is increased by lesser integer, the... (answered by greenestamps)
if the product of two consecutive odd integers is decreased by 3, the result is 12. find... (answered by checkley77)
if the product of two consecutive odd integers is decreased by 3 the result is... (answered by vleith)
Twice the lesser of two consecutive odd integers decreased by the greater integer is 53. (answered by stanbon)
If the product of two consecutive odd integers is increased by the third of the larger... (answered by nyc_function)
If the product of two consecutive odd integers is increased by the third of the larger... (answered by stanbon)
The product of two consecutive odd integers is five more than six times the lesser... (answered by Fombitz)
if the product of two consecutive integers is decreased by 20 times the greater integer,... (answered by Paul)