Question

If $(x-1)$ is a factor of $m{x}^2-\sqrt{2}x+1=0$, then the value of '$m$ ' is:

• A. $\sqrt{2}$
• B. $1$
• C. $\sqrt{2}-1$
• D. $\sqrt{2}+1$

Answer 1

The correct option is C $\sqrt{2}-1$

$(x-1)$ is a factor of $m{x}^2-\sqrt{2}x+1=0,$ then $x=1$ is zero of a given polynomial.
Put $x$ = 1 in the given equation, we get,
m$(1{)}^2-\sqrt{2}(1)+1=0$
$m-\sqrt{2}+1=0$
$\Rightarrow m=\sqrt{2}-1$