Question

find the sum of real roots of the equation x^2+|x| -6=0.​

Answer 1

Answer:

0

Step-by-step explanation:

suppose  x is positive     x^2 +x - 6= 0

                                         [x+3] [x-2] =0

                                         x = -3 or x= 2     x is positive  so x=2

suppose  x is negative     x^2 -x - 6= 0

                                         [x-3] [x+2] =0

                                         x = 3 or x= -2     x is negative  so x=-2

now x=2 and -2 are roots

sum =0

another method

IxI = k is roots   then x= k and x= -k are roots

so sum =0

Answer 2

Answer:

Real roots are x= -3,2

Step-by-step explanation:

To find the real root

x =-b ±√b²-4ac/2a

= -(1)±√1²-4(1)(-6)/2(1)

= -1±√1+24/2

=-1±√25/2

= -1±5/2

x= -1+5/2 (or) -1-5/2

= 4/2 (or) -6/2

= 2 (or) -3