Question

The roots of the equation |x|^2 + |x| - 6 = 0 are-​

Answer 1

${\underline{\underline{\huge{\mathfrak{\green{Answer:-}}}}}}$

Hey Mate!!

${x}^{2} + x - 6 = 0 \\ = > {x}^{2} + 3x - 2x - 6 = 0 \\ = > x(x + 3) - 2(x + 3) = 0 \\ = > (x - 2)(x + 3) = 0 \\ = > x = 2 \: or \: ( - 3)$

Therefore, x = 2 or (-3).

Answer 2

Answer:

Step-by-step explanation:

x^2+2x-3x-6=0

x(x+2)-3(x+6)=0

x+2×x-3=0

x=-2;3