Question

Prove that the function f(x) =x^3 -6x^2 +12x +5 is increasing

Answer 1

How many real roots doesx4+12x−5x4+12x−5 have?

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7 ANSWERS



Abhishek Sharma, lives in Delhi

Answered May 4, 2016

It has 2 real roots.

Equation x^4+12x-5 =0 can be written as:

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

Here ,

(x^2 - 2x+5) =0 is always positive and

(x^2 + 2x-1) =0 has 2 real roots

Therefore answer is 2.