+0  
 
0
417
1
avatar
I am working on a worksheet for math and im stuck on this problem. its a rational equation and I know the answer but he told us to show our work. The answers are 1 and 7/2.
the problem is 4=(5m-5)/(7m)-(6m^2-50m+16)/(7m)
Can anyone help me out? please email me at chancehammond@bellsouth.net
thanks, chance
 Feb 19, 2012
 #1
avatar+3080 
0
[input]4=(5x-5)/(7x)-(6x^2-50x+16)/(7x)[/input]

4=((5x-5)-(6x^2-50x+16))/(7x)
4=(5x-5-6x^2+50x-16)/(7x)
4=(-6x^2+55x-21)/(7x)
28x=-6x^2+55x-21
28x-55x= -6x^2-21
-27x = -6x^2-21
-6x^2+27x-21=0
-6*(x^2-27x/6+21/6)=0

-6*(x^2-27x/6+21/6) is zero, if (x^2-27x/6+21/6) is zero:

x 1,2 = -p/2 +- sqrt( (p/2)^2 - q )
p = -27/6
q = 21/6
x1 = -(-27/6)/2 + sqrt( ((-27/6)/2)^2 - 21/6 )
[input]-(-27/6)/2 + sqrt( ((-27/6)/2)^2 - 21/6 )[/input]
x1 = 3.5 = 7/2

x2 = -(-27/6)/2 - sqrt( ((-27/6)/2)^2 - 21/6 )
[input]-(-27/6)/2 - sqrt( ((-27/6)/2)^2 - 21/6 )[/input]
x2 = 1
 Feb 19, 2012

3 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.