SOLUTION: Can someone help me with this problem please. 1 divided by 4 equals 3 minus 2x minus 1 divided by x+2, it sort a look like this.... 1/4=3-2x-1/x+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone help me with this problem please. 1 divided by 4 equals 3 minus 2x minus 1 divided by x+2, it sort a look like this.... 1/4=3-2x-1/x+2      Log On


   



Question 113351: Can someone help me with this problem please.

1 divided by 4 equals 3 minus 2x minus 1 divided by x+2, it sort a look like this.... 1/4=3-2x-1/x+2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
1%2F4 = 3-2x-1%2F%28x%2B2%29
:
Get rid of the denominators, multiply equation by 4(x+2)
4(x+2)*1%2F4 = 4(x+2)(3) - 4(x+2)(2x) - 4(x+2)*1%2F%28x%2B2%29
:
Cancel the denominators, multiply where needed
x + 2 = 12(x + 2)- 8x(x+2) - 4
:
x + 2 = 12x + 24 - 8x^2 - 16x - 4
:
x + 2 = -8x^2 - 4x + 20
:
+8x^2 + 4x + x + 2 - 20 = 0
:
8x^2 + 5x - 18 = 0
:
Solve for x using the quadratic formula:
x+=+%28-5+%2B-+sqrt%28+5%5E2+-+4+%2A+8+%2A+-18+%29%29%2F%282%2A8%29+
:
The approx solutions:
x = +1.220
and
x = -1.8447
:
Both solution check out in the original equation