Question

Write the sum of real roots of the equation x^2+5|x|-6=0​

Answer 1

Answer:

the given equation be as

x^2+5|x|-6=0-----(1)

when x _>=0 then |x| =x   so equation 1 becomes

x^2+5x-6=0

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

x(x+6)-1(x+6)=0

(x+6)(x-1)=0

x= -6  , 1

thus the sum of real roots = -6+1-6+1=0

hence sum of real roots are 0.