d Problem: If 3x^2 -6m+3 = 0 , Then what will be the value of m ? | Job Exam Rare Mathematics (JEMrare) - Solved MCQs
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Problem: If 3x^2 -6m+3 = 0 , Then what will be the value of m ?

Problem: If 3x^2 -6m+3 = 0 , Then what will be the value of m ?

Solution:                                                                                                                                         

Here the expression given is;

\[ 3x^2 -6m+3 = 0 , \]

We have to tell the value of ‘m’ here!

To solve this we suppose,

\[ m=x \]

Then the expression will look like,

\[ 3x^2 -6x+3 = 0 \]

We factorize it ,

and get:

\[ 3x^2-3x-3x+3=0 \]

hence,

\[ 3x(x-1)-3(x-1)=0 \]

or

\[ (3x-3)(x-1)=0 \]

or

\[ 3(x-1)(x-1)=0 \]

or

\[ (x-1)^2=0 \]

or

\[ x-1=0 \]

or

\[ x=1 \]

but

\[ x=m \]

so,

\[ m=1 \]

Hence the value of ‘m’ is 1

 

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