Question

(1) Find the number of real roots of |x| ^6/5 -26|x|^3/5-27=0​

Answer 1

Step-by-step explanation:

Find the number of real roots of the polynomial

f(x)=x5+x3−2x+1

If I use Descarte's Rule then I get

f(x)=x5+x3−2x+1

there can't be more than two positive real roots. Again

f(−x)=−x5−x3+2x+1

there can't be more than one negative real root.