Solving a rational equation that simplifies to a quadratic equation
Find all values of y satisfying the equation.
(4) - (7 / x+4) = (-3 / x-1)
(If there is more than one solution, separate them with commas.)
Thanks so much for your help!
2007-05-02 18:22:34 · 3 answers · asked by ♥Cheerleader♥ 1 in Science & Mathematics ➔ Mathematics
Its supposed to be...
Find all values of x satisfying the equation.
sry for the mess up
2007-05-02 18:35:49 · update #1
Congratulations first of all in typing a clear equation complete with brackets. Many miss out the brackets and the equation then becomes a nonsense!
4 - 7 / (x + 4) = - 3 / (x - 1)
4.(x + 4).(x - 1) - 7.(x - 1) = - 3.(x + 4)
4.(x² + 3x - 4) - 7x + 7 + 3x + 12 = 0
4x² + 8x + 3 = 0
(2x + 3).(2x + 1) = 0
x = - 3/2 , x = - 1/2
2007-05-02 23:47:42 · answer #1 · answered by Como 7 · 0⤊ 0⤋
well, if u destribute the minus signs and move it all to the left side u get:
4-7/x-4+3/x+1=0
now just add:
10/x+1=0
bring the 1 to the other side:
10/x=1
multiply by 10 on each side:
x=10
I don't see where you got the quadratic equation idea from, there is no y so that is impossible.
2007-05-03 01:37:32 · answer #2 · answered by John V 2 · 0⤊ 0⤋
theres no y in the equation.. y can be anything then. (-infinite) to infinite
2007-05-03 01:32:34 · answer #3 · answered by kennyk 4 · 0⤊ 0⤋