ayalamaricela ayalamaricela
  • 25-07-2020
  • Mathematics
contestada

Solve the following rational equation for x.
1/4x-3/4=7/x

Respuesta :

Tudor123 Tudor123
  • 27-07-2020

Answer:

x1= -4, x2 = 7

Step-by-step explanation:

Move expression to the left-hand side:

1/4x-3/4-7/x=0

Write all the numerators above a common denominator:

x^2 - 3x - 28 /4x =0

When the quotient of expressions equal 0, the numerator has to be 0

x^2 + 4x - 7x - 28 = 0

x(x+4) - 7(x+4) =0

(x+4) × (x-7) =0

Separate into possible cases:

x+4=0

x-7=0

Answer Link
ploumisalexandros5 ploumisalexandros5
  • 06-07-2022

Answer: -9

Step-by-step explanation:

Answer Link

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