Number of real roots for eco in x cube minus 3 x + 1 equal to zero
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let f(x)=x^3 -3x +1
f`(x)=3x^2-3 which has a root +1 and -1
f(-1)= -1 +3 +1 =4
f(+1) = 1-3+1= -1
f(infinity)= +infinity
f(-infinity= -infinity
so graph will be something like mentioned in touch diagram hence it has real 3 roots
f`(x)=3x^2-3 which has a root +1 and -1
f(-1)= -1 +3 +1 =4
f(+1) = 1-3+1= -1
f(infinity)= +infinity
f(-infinity= -infinity
so graph will be something like mentioned in touch diagram hence it has real 3 roots
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