Question

If x²-x-6=0, then x is?

Answer 1

$\large\bold{\underline{\underline{Given:-}}}$

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

$\large\bold{\underline{\underline{To\:find:-}}}$

The value of $x$.

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

:⟼  ${x}^{2} - x - 6 = 0$

:⟼  ${x}^{2} - 3x + 2x - 6 = 0$

:⟼  $x(x - 3) + 2(x - 3) = 0$

:⟼  $(x + 2)(x - 3) = 0$

Either $(x+2)=0$ or $(x-3)=0$

Therefore, the values of $x$ are $\boxed{ -2}$ and $\boxed{ 3 }$.

$\large\mathfrak{{\pmb{\underline{\red{Tornado77 }}{\red{❦}}}}}$