SOLUTION: Three more than the square root of the sum of 3 consecutive odd numbers is 12. Find the three numbers.
Algebra.Com
Question 959335: Three more than the square root of the sum of 3 consecutive odd numbers is 12. Find the three numbers.
Found 2 solutions by macston, checkley77:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
n,n+2,and n+4 are consecutive odd integers
Subtract 3 from each side.
Square each side.
Subtract 6 from each side.
Divide each side by 3.
ANSWER 1: The first odd number is 25
= ANSWER 2: The second number is 27.
= ANSWER 3: The third number is 29.
CHECK:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
SQRT(X+X+2+X+4)+3=12
SQRT(3X+6)=12-3
SQRT(3X+6)=9 SQ BOTH SIDES
3X+6=81
3X=81-6
3X=75
X=75/3
X=25 ANS. FOR THE FIRST ODD NUMBER
25+2=27 FOR THE SECOND NUMBER.
25+4=29 FOR THE THIRD NUMBER.
PROOF:
SQRT(25+27+29)+3=12
SQRT81+3=12
9+3=12
12=12
RELATED QUESTIONS
Three more than the square root of the sum of 3 consecutive odd numbers is 12. Find the... (answered by Fombitz)
Three more than the square root of the sum of 3 consecutive odd numbers is 12. Find the... (answered by JoelSchwartz)
Three more than the square root of the sum of 3 consecutive odd numbers is 12. Find the... (answered by CubeyThePenguin)
three more than the square root of THE SUM OF 3 consective odd numbers is 12. find the... (answered by Edwin McCravy)
Find three consecutive positive odd numbers such that the sum of the square of the two... (answered by macston)
Find three consicutive odd numbers if the square of the smallest is four more than the... (answered by longjonsilver)
The square of the first of three consecutive odd integers is 9 more than 6 times the sum... (answered by mananth)
Two times the square root of the sum of 3 consecutive even numbers is 24. Find the three (answered by ewatrrr,MathLover1)
two times the square root of the sum of 3 consecutive even numbers is 24. find the three... (answered by stanbon)