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Write the equation 5x-2/2-19x+6/2x=3x-2/4 in general quadratic form. 7x 210x 2 - 39x - 10 = 0 7x 2 - 40x - 12 = 0 7x 2 - 40x + 6 = 0

Respuesta :

Answer:

[tex]7x^2 - 40x + 12 = 0[/tex]

Step-by-step explanation:

The equation [tex]\frac{5x-2}{2}-\frac{19x-6}{2x}=\frac{3x-2}{4}[/tex] can be written as a quadratic with the following steps:

  1. Multiply each term by 4x to clear all denominators.
  2. Apply the distributive property.
  3. Combine like terms.
  4. Move all terms to one side.

Step 1 :

[tex]\frac{5x-2}{2}-\frac{19x-6}{2x}=\frac{3x-2}{4}\\4x(\frac{5x-2}{2}-\frac{19x-6}{2x}=\frac{3x-2}{4})\\2x(5x-2) -2(19x-6) = x(3x-2)[/tex]

Step 2:

[tex]2x(5x-2) -2(19x-6) = x(3x-2)\\10x^2 - 4x - 38x + 12 = 3x^2 - 2x[/tex]

Step 3:

[tex]10x^2 - 4x - 38x + 12 = 3x^2 - 2x\\10x^2 - 42x + 12 = 3x^2 - 2x[/tex]

Step 4:

[tex]10x^2 - 42x + 12 = 3x^2 - 2x\\7x^2 - 40x + 12 = 0[/tex]

Answer:

7x-40x-12=0

Step-by-step explanation:

I know because I got it wrong following on of the other mentally disabled individuals who posted an innacurate answer here. Your welcome for an accurate answer from a semi intelligent individual. : )