(x+5)(x-4)+ 6x=-7
x^2+x-20+6x=-7
x^2+7x-13=0
x= (-7 +-sqrt (49+52))/2=(-7+-10.04)/2
x=-17/2, 3/2 your answers
Solve: (x+5/x)+(6/x-4)=(-7/x^2-4x)
I multiplied the entire function by x and x-4 and after doing that I got down to the quadratic equation
x^2+7x-13=0
I did the quadratic and got
x=1.525 and -8.525
I feel like I made a mistake because when I plug in both of those answers for x separately, it never works out. Not sure if I made an error in calculating or in plugging in, or if there is no solution.
Thanks.
5 answers
When I plug them in they don't work. am I plugging them in wrong or is it no solution?
Are the brackets right?
I've tried
(x+5/x)+(6/x-4)=(-7/x^2-4x),
and
(x+5)/x + 6/(x-4)=-7/(x^2-4x)
and a couple of other permutations without achieving enlightenment.
I've tried
(x+5/x)+(6/x-4)=(-7/x^2-4x),
and
(x+5)/x + 6/(x-4)=-7/(x^2-4x)
and a couple of other permutations without achieving enlightenment.
OK. If it's
(x+5)/x + 6/(x-4)=-7/(x^2-4x)
then I agree with bobpursley's answer
but the numerical answers aren't exactly -17/2 and 3/2; they're
(-7+-sqrt(101))/2. If you plug 3/2 in, it'll be close but not zero.
6.5/1.5 + 6/(1.5-4)+7/(1.5^2-4*1.5)
(x+5)/x + 6/(x-4)=-7/(x^2-4x)
then I agree with bobpursley's answer
but the numerical answers aren't exactly -17/2 and 3/2; they're
(-7+-sqrt(101))/2. If you plug 3/2 in, it'll be close but not zero.
6.5/1.5 + 6/(1.5-4)+7/(1.5^2-4*1.5)
Oops. Left off the last equals:
6.5/1.5 + 6/(1.5-4)+7/(1.5^2-4*1.5) = 0.066666...
6.5/1.5 + 6/(1.5-4)+7/(1.5^2-4*1.5) = 0.066666...
3 answers