Mathematics
Grade10
Easy

Question

A company has launched two products in the same month. The sales of the two products are the same in a particular month. The sales of the first product are y equals x squared minus 9 x plus 150 and the sales of the second product are y equals x plus 150.
In which month do the sales are same?

  1. 7
  2. 8
  3. 9
  4. 10

The correct answer is: 10


    10 comma space i s space t h e space c o r r e c t space c h o i c e
y space equals space x squared space minus space 9 x space plus space 150..... left parenthesis a right parenthesis
y space equals space x space plus space 150..... left parenthesis b right parenthesis
s a l e space i s space t h e space s a m e space f o r space a space p a r t i c u l a r space m o n t h
s o space b o t h space t h e space e q u a t i o n space w i l l space b e space s a m e space
x squared space minus space 9 x space plus space 150 space equals space x space plus space 150
x squared space minus space 9 x minus x space equals space 150 space minus space 150
x squared space minus space 10 x space equals space 0
x space left parenthesis space x space minus space 10 space right parenthesis space equals space 0
s o space x space equals space 0
a n d comma space x minus 10 space equals 0
rightwards double arrow x space equals space 10 space m o n t h comma
x space s h o u l d space n o t space b e space 0 space comma space b e c a u s e space f o r space s a l e space m o n t h space s h o u l d space b e space t h e r e
s o space comma space x space equals space 10 space m o n t h comma space i s space t h e space a n s w e r

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