3 years ago

!!Help Me!! Solve the rational equation:

1 answer:

8 0

Least common denominator is (x-1)(x-2) = x²-3x+2.
2x(x-2)/((x-1)(x-2)) - (2x-5)/((x-1)(x-2)) = -3(x-1)/((x-1)(x-2))
2x(x-2) - (2x-5) = -3(x-1)
(2x²-4)-(2x-5) = -3x+1
2x²-2x+1 = -3x+1
2x²+x = 0
x(2x+1) = 0
x = 0,-½

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Help me with this one question and think closely it is not 8 or 800 question 36

mezya [45]

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6 0

3 years ago

Point G is between points F and H. FH = 102, FG = 5x + 9, and HG = 9x − 5. Show your work.

Mamont248 [21]

Refer to the diagram shown below.

FH = FG + GH, therefore
(5x + 9) + (9x - 5) = 102
5x + 9 + 9x - 5 = 102
14x + 4 = 102
Subtract 4 from each side.
14x = 98
Divide each side by 14.
x = 7

FG = 5x + 9 = 5*7 + 9 = 35 + 9 = 44
HG = 9x - 5 = 9*7 - 5 = 63 - 5 = 58

Answers:
Part A) x = 7
Part B) FG = 44
Part C) HG = 58