SOLUTION: please solve and check rational Equation 1) 4/x+2-1/x= 1/x 2) 15/x-4=6/x+3 3) Find the two consecutive positive even Integers whose product is 168.

Question 204776: please solve and check rational Equation
1) 4/x+2-1/x= 1/x

2) 15/x-4=6/x+3
3) Find the two consecutive positive even Integers whose product is 168.
Answer by lazi(15) (Show Source): You can put this solution on YOUR website!
1) 4/x + 2 - 1/x = 1/x
3/x + 2 = 1/x
- 1/x - 2 = -1/x - 2
----------------------------
2/x = - 2
times x and divide by - 2 on both side
- 1 = x
2) 15/x - 4 = 6/x + 3
- 6/x + 4 = - 6/x + 4
----------------------------
9/x = 7
times x and divide by 7 on both side
9/7 = x
3)----168
-----/---\
----2----84
--------/--\
-------2---42
----------/--\
---------2---21
------------/ \
-----------3----7
2 * 2 * 2 * 3 * 7 = 168
2 * 2 * 3 = 12 ; 2 * 7 = 14
formula x(x-2) = 168
x^2 - 2x - 168 = 0
(x-14)(x+12) = 0
x = 14 and 12
RELATED QUESTIONS
solve the equation please show check 1/(x+3) + 6/(x^2-4) =... (answered by josgarithmetic)

Solve and Check the following rational equations 4 - 1 = 1 - - - x+2 x (answered by stanbon)

Please help solving this rational equation: 2-... (answered by algebrapro18)

Solve the rational equation... (answered by ewatrrr)

Solve the rational equation... (answered by stanbon)

Solve the rational equation 1/x-1 +... (answered by ewatrrr)

Solve the rational equation: x+2/3 - x-4/4 =... (answered by mananth)

Solve the rational equation 7/(x +4) + 1/2 = 3/(x+1) (answered by stanbon)

Need help solving this equation with rational exponents please. Solve equation. Check... (answered by jsmallt9)