Question

The given quadratic equations have real roots and the roots are equal and it is $1$:
$x^2$ - 2x + 1 = 0

• A. True
• B. False

Answer 1

The correct option is A True

$x^2-2x+1=0$

$\Rightarrow$ $x^2-x-x+1=0$

$\Rightarrow$ $x(x-1)-1(x-1)=0$

$\Rightarrow$ $(x-1)(x-1)=0$

$\Rightarrow$ $x-1=0$ and $x-1=0$

$\Rightarrow$ $x=1$ and $x=1$

$\therefore$ Here, we can see roots are real and equal.