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write the equation in the form ax+bx+c=0 where a ;0 if necessary then identity the values of a b and c do not actually solve the equation.3x²=4x+8a= ? b= ? c=?​

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Final answer:

The equation 3x²=4x+8 is written in the form ax²+bx+c=0 by subtracting 4x and then 8 from both sides, resulting in the equation 3x²-4x-8=0, where a=3, b=-4, and c=-8.

Step-by-step explanation:

To write the equation 3x²=4x+8 in the form ax+bx+c=0, we need to subtract 4x and 8 from both sides to get all terms on one side of the equal sign. After rearranging, the equation will take the form ax²+bx+c=0.

We start by subtracting 4x from both sides:

3x² - 4x = 8

Next, we subtract 8 from both sides to get:

3x² - 4x - 8 = 0

This is now in the desired form, where the values of a, b, and c are identified as follows:

  • a = 3
  • b = -4
  • c = -8

Note that while the question has been fully addressed, we do not solve the equation as per the student's instruction.

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