Question

If x + (1/x) = 2, find x⁴- x³​

Answer 1

Answer:

The answer will be 0.

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Answer 2

Answer:

X^2 + 2 = 2X

X^2 +2 = X+ X

X^2 -X =X -2

Squaring both the sides

( X^2 - X)^2 = (X -2)^2

X^4 +X^2 - 2X^3 = X^2 -2X +4

X^4 -X^3 +X^2 -X^3 =X^2–2X +4

X^4 -X^3 +X^2 +2 = X^3 +X^2 - 2X +6

L H S = X^3 +2X^2 - X^2 -2X +6

L H S = X^2(X+2) - X(X+2) +6

L H S =( X^2 -X)(X+2) +6

LH;S = (X-2)(X+2)+6 = X^2 - 4 + 6

LH S = X^2+2 =2X

LH S =2X

Step-by-step explanation:

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