SOLUTION: solve (4(x-2))/(x-3) + (3)/(x) = (-3)/(x(x-3) eliminate extraneous solutions. Please explain and show work thank you so much This will be very helpful... - (solving rational Equ

Algebra ->  Expressions-with-variables -> SOLUTION: solve (4(x-2))/(x-3) + (3)/(x) = (-3)/(x(x-3) eliminate extraneous solutions. Please explain and show work thank you so much This will be very helpful... - (solving rational Equ      Log On


   

Question 778262: solve (4(x-2))/(x-3) + (3)/(x) = (-3)/(x(x-3)
eliminate extraneous solutions. Please explain and show work thank you so much This will be very helpful... - (solving rational Equations)''
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Simplest common denominator is x(x-3). Multiply the left and right sides of the equation by x%28x-3%29 and simplify. Finally, solve for x. You must be sure to recognize the restrictions that x%3C%3E0 and x%3C%3E3.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

solve (4(x-2))/(x-3) + (3)/(x) = (-3)/(x(x-3)
eliminate extraneous solutions. Please explain and show work thank you so much This will be very helpful... - (solving rational Equations)'

4%28x+-+2%29%2F%28x+-+3%29+%2B+3%2Fx+=+%28-+3%29%2Fx%28x+-+3%29

Note that: x+%3C%3E+0, or x+%3C%3E+3, as any of these values will result in an UNDEFINED expression.

4x(x - 2) + 3(x - 3) = - 3 ------- Multiplying by LCD, x(x - 3)

4x%5E2+-+8x+%2B+3x+-+9+=+-+3

4x%5E2+-+8x+%2B+3x+-+9+%2B+3+=+0

4x%5E2+-+5x+-+6+=+0

4x%5E2+-+8x+%2B+3x+-+6+=+0

4x(x - 2) + 3(x - 2) = 0

(4x + 3)(x - 2) = 0

4x + 3 = 0_________OR___________x - 2 = 0

4x = - 3___________OR___________x = 0 + 2

highlight_green%28x+=+%28-+3%29%2F4%29_____OR_______highlight_green%28x+=+2%29

You can do the check!!

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