Question

which is the correct option​

Answer 1

Answer:

The answer is option c.

the roots for above given equation is 2,3

therefore the difference of two roots is ±3.

Answer 2

Given :

• $\alpha \sf \: and \: \sf \: \beta$are the roots of the equation ${x}^{2} - 5x + 6 = 0$

To Find :

• $\alpha - \beta$

Solution :

general form of equation ,

$a {x}^{2} + bx + c = 0$

given equation,

${x}^{2} - 5x + 6 = 0$

Values of $\alpha$ and $\beta$,

$\longrightarrow \sf x^2-5x+6=0\\\\\longrightarrow \sf x^2-2x-3x+6=0\\\\\longrightarrow \sf x(x-2)-3(x-2)\\\\\longrightarrow \sf (x-3)(x-2)=0\\\\\longrightarrow \sf x=3,2$

Finding value of $\alpha - \beta$,

$\begin{array}{c|c} \sf \alpha=3,\beta=2&\sf \alpha=2,\beta=3\\\\\sf \alpha-\beta&\sf \alpha-\beta\\\\\sf 3-2&\sf 2-3\\\\\sf 1&\sf -1\end{array}$

Final Answer ,

• B)$\pm1$