What is the value of ax² + bx + c, if x =  
-b
a
 ?


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Answer:

c

Step by Step Explanation:
  1. Here we have to find the value of ax² + bx + c, where the value of x is  
    -b
    a
     .
  2. Let us place the value of x in ax² + bx + c.
    = a( 
    -b
    a
     )² + b( 
    -b
    a
     ) + c
    = a ×  
    b²
    a²
      + b × ( 
    -b
    a
     ) +c
    =  
    b²
    a
      -  
    b²
    a
      + c
    = c
  3. Thus, the value of ax² + bx + c is c.

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