Question

resolva as equações em R

a)x+1/x-3 = 5

b)x+10/2 = 4x-2/x-2

Answer 1

a)x+1/x-3 = 5
   x+1/x-3=5,≠3
   x+1/x-3-5=0
   x.(x-3)+1-5(x-3)/x-3=0
   x²-3x+1-5x+15/x-3=0
   x²-8x+16/x-3=0
   x²-8x+16=0
   (x-4)²=0
   x-4=0
   x=4,x≠3
   x=4

b)x+10/2 = 4x-2/x-2
   x+5=4x-2/x-2
   x+5=4x-2/x-2,x≠2
   x+5-4x+2/x-2=0
   -3x+5+2/x-2=0
   -3x.(x-2)+5(x-2)+2/x-2=0
   -3x²+6x+5x-10+2/x-2=0
   -3x²+11x-8/x-2=0
   -3x²+11x-8=0
   3x²-11x+8=0
   x=-(-11)+-√(-11)²-4.3.8/2.3
   x=11+-√121-96/6
   x=11+-√25/6
   x=11+-5/6
   x=11+5/6
   x=11-5/6
   x=8/3,x≠2
   x=1
   x=8/3
   x=1

Espero ter Ajudado! Bom Dia!