Question

determine o valor de x:​

Answer 1

Resposta:

a) 2

b) -5/2

c) -7

Explicação passo-a-passo:

Aplicamos o teorema de tales:

a) 2x/x=x+4/x+1

2=x+4/x+1

2(x+1)=x+4

2x+2=x+4

2x-x=4-2

x=2

b) 3/(x-1)=5/x

3/(x-1)-5/x=0

[3x-5(x-1)]/(x-1)•x=0

3x-5x+5=0•(x-1)•x

-2x+5=0

x=-5/2

c) 4x+2/3x-1=6/4

[4x+2/(3x-1)]-6/4=0

[(4x+2)•4+(3x-1)•(-6)]•[(3x-1)•4]=0

16x+8-18x+6=0•(3x-1)•4

-2x=14

x=-7