Mathematics
Grade-8
Easy

Question

The linear equation in one variable, x, is

  1.  4 over x equals x over 4
  2. 1 over x plus fraction numerator 1 over denominator x minus 1 end fraction equals 1
  3. x over 2 plus x over 3 plus 1 fourth
  4. x² + 2x + 3 = 0

hintHint:

l i n e a r space e q u a t i o n space m e a n s space h i g h e s t space p o w e r space o f space x space s h o u l d space b e space 1

The correct answer is: x over 2 plus x over 3 plus 1 fourth


    x over 2 plus x over 3 plus 1 fourth space i s space t h e space c o r r e c t space c h o i c e
l e t s space c h e c k space t h e space o p t i o n
a right parenthesis space 4 over x space equals space x over 4
s o space x to the power of 2 space end exponent equals space 16 space comma space i t space i s space n o t space c o r r e c t space b e c a u s e space i t space i s space q u a d r a t i c space comma space b e c a u s e space p o w e r space o f space x space equals space 2
b right parenthesis space 1 over x plus fraction numerator 1 over denominator x minus 1 end fraction equals 1 comma space o n space s o l v i n g space w e space g e t space i t space i s space a l s o space a space q u a d r a t i c space comma space s o space i t space i s space a l s o space n o t space c o r r e c t
c right parenthesis x over 2 plus x over 3 plus 1 fourth comma space i t space i s space l e n e a r space b e c a u s e space h i g h e s t space p o w e r space o f space x space equals space 1 space h e r e comma s o space i t space i s space c o r r e c t space a n s w e r

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