SOLUTION: I am thinking of three consecutive negative numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?

Question 167558: I am thinking of three consecutive negative numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?
Answer by sowmya(32) (Show Source): You can put this solution on YOUR website!
I am thinking of three consecutive negative numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?
solution:
Let the three numbers be x, x+1 and x+2
x(x+1)-3(x+2) = 57
x^2+x-3x-6=57
x^2-2x-63=0
x^2-9x+7x-63=0
(x+7)(x-9)=0
Hence x = -7 or x=9
But the three numbers shd be negative.So x= -7
Hence the three consecutive numbers are -7,-8,-9

RELATED QUESTIONS
I am thinking of three consecutive negative numbers. If I multiply the first with the... (answered by solver91311)

I am thinking of three consecutive negative numbers. If i multiply the first with the... (answered by stanbon)

I am thinking of three consecutive negative numbers. If I multiply the first with the... (answered by stanbon)

I am thinking of three consecutive numbers. If I multiply the first with the second and... (answered by nabla)

I am thinking of three consecutive numbers. If I multiply the first with the second and... (answered by Grinnell)

I am thinking of three consecutive negative numbers. If I multiply the first with the... (answered by checkley77)

(((I am thinking of three consecutive numbers. If I multiply the first with the second... (answered by stanbon)

Here is a word problem I am having trouble figuring out: "I am thinking of three... (answered by user_dude2008)

I am thinking of three consecutive numbers. If I multiply the first with the second and... (answered by edjones)