Question

The number of real roots of (x+3)^4 + (x+5)^4 = 16 is:
a) 0
b) 2
c) 4
d) none of these

Answer 1

2

Answer 2

-3 and -5

Answer 3

Please say the detailed steps.

Answer 4

here's an ugly method http://math.stackexchange.com/questions/785/is-there-a-general-formula-for-solving-4th-degree-equations

simplify it to 4th degree equation ... it has at max 4 roots, in our case it's 2 real and 2 complex

Answer 5

@experimentX can u explain the direct solution and step? I didn't get it.

Answer 6

the no of solution =cut points of graphs(y=(x+3)^4 and y=16-(x+5)^4)=2 (they are -3 and -5)