Question

The product of two consecutive negative integers is 600. What is the value of the lesser integer?

–60
–30
–25
–15

Answer 1

x ·( x + 1 ) = 600

x² + x = 600

x² + x - 600 = 0

x_{12} = \frac{-1+/- \sqrt{1+2400} }{2}= \frac{-1+/- \sqrt{2401} }{2}= \\ =\frac{-1+/-50}{2}

x = ( - 1 - 49 ) / 2 = - 50 : 2 = - 25

x = - 25, x + 1 = - 24

( - 25 ) · ( - 24 ) = 600

Answer:

C ) - 25

Answer 2

x ·( x + 1 ) = 600
x² + x = 600
x² + x - 600 = 0

`x_(12) = (-1+/- √(1+2400) )/(2)= (-1+/- √(2401) )/(2)= \\ =(-1+/-50)/(2)`
x = ( - 1 - 49 ) / 2 = - 50 : 2 = - 25
x = - 25, x + 1 = - 24
( - 25 ) · ( - 24 ) = 600
Answer:
C ) - 25