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