SOLUTION: The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers. So, (x - 8)(x-9) = 0 x^2 + -17 + 72 = 0 ax^2 + bx + c, where a = 1, b = -

Algebra.Com
Question 825996: The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.
So, (x - 8)(x-9) = 0
x^2 + -17 + 72 = 0
ax^2 + bx + c, where a = 1, b = -17 and c = 72.
"Plug" into x = b+-sqrt4ac/2a
I found online that:
-17 + sqrt(1)
-17 + 1 = -16/2 = -8
-17 - 1 = -18/2 = -9
Aren't you meant to plug in all the numbers in the equation? Why am I getting decimal numbers?

Found 2 solutions by phoihe001, Alan3354:
Answer by phoihe001(34)   (Show Source): You can put this solution on YOUR website!
8 and 9
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.
So, (x - 8)(x-9) = 0 ******* You started by knowing the answer.
x^2 + -17 + 72 = 0
ax^2 + bx + c, where a = 1, b = -17 and c = 72.
"Plug" into x = b+-sqrt4ac/2a
I found online that:
-17 + sqrt(1)
-17 + 1 = -16/2 = -8
-17 - 1 = -18/2 = -9
Aren't you meant to plug in all the numbers in the equation? Why am I getting decimal numbers? What decimal numbers?

RELATED QUESTIONS

The product of two consecutive odd integers is 22 more than 7 times the larger number.... (answered by Seutip,MathTherapy)
Solve by forming a quadratic equation. The product of two consecutive numbers is 143.... (answered by richwmiller)
Show work please 10.    Work backwards to write a quadratic equation that will have (answered by josgarithmetic)
Find two consecutive integers whose product is 72. x= 1st integer x+1 + 2nd integer (answered by stanbon)
I believe I have the right answers just need help showing it step by step. 12.   ... (answered by dkppathak,Edwin McCravy)
The product of two consecutive even numbers is 48. Given that the smaller number is x,... (answered by josgarithmetic)
The product of two consecutive numbers is 72. Find the smaller of the... (answered by jim_thompson5910)
the sum of two numbers is 9 and their product is 20. use a quadratic equation to... (answered by Earlsdon)
The product of two consecutive numbers is 72. Find the two integers. a) 12 or -6 b) -12 (answered by drk)