Question

X2-x-6=0, then x is​

Answer 1

Answer:

A is the answers for the question

Step-by-step explanation:

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Answer 2

$\underline{\underline{\large\bf{Solution:-}}}$

$\longrightarrow$Given is a quadratic equation which can be solved by splitting the middle term.

$\leadsto$For this we have to look at factors of the constant term . Since here constant term term is- 6 so splitted middle term should have product equal to -6

$\begin{gathered}\\\implies\quad \sf x^2-x-6=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x^2-3x+2x-6=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x(x-3)+2(x-3)=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf (x-3)(x+2) =0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf (x-3) =0 \quad or \quad (x+2) =0\\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x=3 \quad or \quad x= -2\\\\\end{gathered}$

$\quad\therefore\: \sf x \:is \: \:3 \:or -2$