Question

For the equation
$|x ^{2} | + |x| - 6 = 0$
The roots are ​

Answer 1

The roots of the equation are 2 and (-3).
Hope it helps!

Answer 2

QUESTION :

$\begin{array} { | c | c |}</p><p>x^{2} + x$ - 6 = 0

CONCEPTS USED :

• Intersection

• Find the roots of the equation.

SOLUTION :

$\begin{array} { | c | c |}</p><p>x^{2} & x$ - 6 = 0

✍️ Seperate the equation into possible cases,

$x^{2} + x - 6 = 0 , x \geq = 0$

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

✍️Find the intersection,

$x = -3 & x = 2 ......... x \geq = 0$

$x = 2 , x = -2$

$x_1 = -2 and x_2 = 2$

$\therefore$ The roots of the given equation are $\x_1 = -2 and x_2 = 2$ .