Write the solution set of the equation ${x^2} + x - 2 = 0$ in roster form.

Vedclass pdf generator app on play store
Vedclass iOS app on app store

The given equation can be written as

$\left( {x - 1} \right)\left( {x - 2} \right) = 0,$ i.e., $x=1,-2 $

Therefore, the solution set of the given equation can be written in roster form as $\{ 1, - 2\} $

Similar Questions

Which of the following are sets ? Justify your answer.

The collection of all the months of a year beginning with the letter $\mathrm{J}.$

Write the following sets in roster form :

$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $

Write the following as intervals :

$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $

Which of the following pairs of sets are equal ? Justify your answer.

$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} - 3x + 2 = 0\,\} .$

Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$

$\varnothing$