Math Question?

Question

3/2x - 9/2 = 6x
Solve by using the LCD (Lowest Common Denominator) and show all work.

3x/x+1 + 6/2x = 7/x
Solve by using the LCD (Lowest Common Denominator) and show all work.

Answer 1

First one: multiply the top of each term by 2x. You get:

3 - 9x = 12x^2 , so 12x^2 + 9x - 3 = 0 . Then factor 3 out:

3(4x^2 + 3x - 1) = 0]

3(4x - 1)(x + 1) = 0, so x = 1/4 or -1

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Second prob: LCD is 2x(x+1). Multiply through by the LCD on both sides and you get

3x(2x) + 6(x+1) = 7*2(x+1)

6x^2 + 6x + 6 = 14x + 14

6x^2 - 8x - 8 = 0
2(3x^2 - 4x - 4) = 0
2(3x + 2 )(x - 2 ) = 0
x = -2/3 or x = 2

Answer 2

Sorry man I tried to answer it but i couldn't.