Question

me ajude por favor....​

Answer 1

x+1/x =5/2

2x(x+1/x)= 2x . 5/2

2x²+2=5x

2x²-5x+2=0

2x²-4x-x+2=0

2x(x-2)-1(x-2)=0

(x-2)(2x-1)=0

x-2=0 ou 2x-1=0

x=2     ou 2x=1 ---> x=1/2

s={1/2, 2}

b) x/3 - 2/x =-2

3x( x/3 -2/x)= 3x. (-2)

x²-6=-6x

x²+6x=6

x²+6x+9=6+9

(x+3)²= 15

$x+3=\sqrt{15} \\x=\sqrt{15}-3$

$x+3=-\sqrt{15} \\x=-(\sqrt{15} +3)$