If x - 1/x = 3. find the value of x²+ 1/x² and x⁴ + 1/x⁴ (i)4,88

1.	If x - 1/x = 3. find the value of x²+ 1/x² and x⁴ + 1/x⁴ (i)4,88 (ii)7,100 (iii)10,112 (iv)11,119
Answer» ANSWER: IV) 11,119 Step-by-step EXPLANATION: x-1/x=3 squareing on both SIDE (x-1/x)²=3² x²+1/x²-21/xx=9 x²+1/x²=9+2 =11 x²+1/x²=11 squareing on both SIDES (x²+1/x²)²=11² x⁴+1/x⁴+2=121 x⁴+1/x⁴=119

If x - 1/x = 3. find the value of x²+ 1/x² and x⁴ + 1/x⁴ (i)4,88 (ii)7,100 (iii)10,112 (iv)11,119

Answer»

IV) 11,119

Step-by-step EXPLANATION:

x-1/x=3

squareing on both SIDE

(x-1/x)²=3²

x²+1/x²-2*1/x*x=9

x²+1/x²=9+2

=11

x²+1/x²=11

squareing on both SIDES

(x²+1/x²)²=11²

x⁴+1/x⁴+2=121

x⁴+1/x⁴=119