Question

2-x/3 x+1/4=
12 then find
the value of x ?
​

Answer 1

Answer:

If (x + 1/x) = 4 and (x^2 + 1/x^3) = 12, then what is the value of (x^3 + 1/x^2)?

I’ll answer a related question. Prove the following theorem:

Theorem: If  (x+1x)=4  and  (x2+1x3)=12  then the moon is made of green cheese.

Proof: Suppose, for the purpose of contradiction, that the moon is not made of green cheese. Since  x+1x=4,  it follows that  x  and  1x  are roots of the quadratic equation in  z,  

z2–4z+1=0  

The roots of this equation are  2+3–√  and  2−3–√,  which are  x  and  1x  in some order. So  x2+1x3  is not  12,  but rather either  33−113–√  or  33+113–√,  a contradiction, which completes the proof.

My point? Any statement, true or not, validly follows from a false premise.

Step-by-step explanation: