Ask a New Question

Question

Solve the rational equation below.

1/x-2+ 2x/(x-2)(x-8)=x/2(x-8)
12 years ago

Answers

Reiny
You were missing a bracket, should be
1/(x-2) + 2x/(x-2)(x-8)=x/2(x-8)

multiply each term by 2(x-2)(x-8) , the LCD
2(x-8) + 4x = x(x-2)
2x - 16 + 4x = x^2 - 2x
x^2 -8x + 16 = 0
(x-4)^2 = 0
x-4 = 0
x = 4

check:
LS = 1/2 + 8/(2)(-4)
= 1/2 - 1 = -1/2
RS = 4/(-8) = -1/2

12 years ago

Related Questions

Solve the rational equation for x: 3/x+x−3/x=1/x2 (1 point) Responses x=0 x=0 x=3 x=3 x=1 x=1 x=±1 Solve the rational equation 4/x−2+1=7/x−2 . Re-order the steps so that the given equation is at the... Solve the rational equation for \( x \): \[ \frac{3}{x} + \frac{x - 3}{x} = \frac{1}{x^2} \... Solve the rational equation for \( x \): \[ \frac{3}{x} + \frac{x - 3}{x} = \frac{1}{x^2} \... Solve the rational equation: 1/5 + 2/x = 1/3 ​ Solve the rational equation x^2 +x/x^2-5x+4 = 4/x-4 +4/x^2 -5x+4 Solve the rational equation, where x≠2: 4/x-2 +1=7/x-2 Re-order the steps so that the given equat... Solve the rational equation for x: 3/x + x-3/x = 1/x^2 A x=0x=0x=0 B x=3x=3x=3 C x=1x... Solve the rational equation: 9/x + 1/4 = 2/x Solve the rational equation for x: 3/x+x−3/x=1/x^2 . (1 point) Responses x=±1 x is equal to pl...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use