Question

Tìm x biết: \(\dfrac{x+2}{2}=\dfrac{x+8}{x}\)

Answer 1

x ( x + 2 ) = 2 ( x + 8 )

x² + 2x = 2 ( x + 8 )

x² + 2x = 2x + 16

x² + 2x − 2x = 16 

x² = 16

x = 4

x = −4

Answer 2

x²+2x=2x+16

x²+16=0

x²=-16 (vô lí)

=> PT vô nghiệm

Answer 3

ĐK: x≠−2

x+2/2=8/x+2

⇔(x+2)²=8.2

⇔(x+2)²=4²=(−4)²

⇔[x+2=4

     x+2=−4

⇔[x=2x=−6

      x+22=8x+2

Vậy x=2;x=−6x=2;x=−6.

Answer 4

 

=>x ∈ ∅

Answer 5

x ( x + 2 ) = 2 ( x + 8 )

x² + 2x = 2 ( x + 8 )

x² + 2x = 2x + 16

x² + 2x − 2x = 16 

x² = 16

x = 4

x = −4

Answer 6

x²+2x=2x+16

x²+16=0

x²=-16 (vô lí)

=> PT vô nghiệm

Answer 7

x ( x + 2 ) = 2 ( x + 8 )

x² + 2x = 2 ( x + 8 )

x² + 2x = 2x + 16

x² + 2x − 2x = 16 

x² = 16

x = 4

x = −4