Question
solving rational equation
trying to figure out where i did wrong
x/x-4 -4/x-5 = 4/x^2-9x +20
x/x-4 -4/x-5= 4/(x-4)(x-5)
domain x not equal +- 4,5
x(x-4)(x-5)/x-4 - 4(x-4)(x-5)/x-5= 4(x-4)(x-5)/(x-4)(x-5)
x(x-5)-4(x-4)=4
x^2-5x-4x+16=4
x^2-9x+16=4
x^2-9x+16-4=4
x^2-9x+16-4=0
x^2-9x+12=0
(x-2)(x-6)
something wrong
trying to figure out where i did wrong
x/x-4 -4/x-5 = 4/x^2-9x +20
x/x-4 -4/x-5= 4/(x-4)(x-5)
domain x not equal +- 4,5
x(x-4)(x-5)/x-4 - 4(x-4)(x-5)/x-5= 4(x-4)(x-5)/(x-4)(x-5)
x(x-5)-4(x-4)=4
x^2-5x-4x+16=4
x^2-9x+16=4
x^2-9x+16-4=4
x^2-9x+16-4=0
x^2-9x+12=0
(x-2)(x-6)
something wrong
Answers
Steve
so close! But 2+6≠9
The roots are irrational.
The roots are irrational.