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

Question

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

Accepted Answer

B. $\{1, -2\}$

Factor: $x^{2} + x - 2 = (x - 1)(x + 2) = 0$.
Setting each factor to zero: $x - 1 = 0 \Rightarrow x = 1$, and $x + 2 = 0 \Rightarrow x = -2$.
Solution set in roster form: $\{1, -2\}$.
Check: $1^{2} + 1 - 2 = 0$ ✓ and $(-2)^{2} + (-2) - 2 = 4 - 2 - 2 = 0$ ✓.
- Trap A misses the negative root.
- Traps C, D have wrong signs.
NCERT Class 11, Example 1.

Answer

$\{1, 2\}$

Answer

$\{-1, 2\}$

Answer

$\{-1, -2\}$