Question

Find the roots of 1/x+4-1/x-7=11÷30 ( x not equal to -4,7)

Answer 1

Step-by-step explanation:

1/X+4-1/x-7=11÷30

X-7-(X+4)/(X+4)(x-7)=11/30

x-7-x-4/x^2+4x-7x-28=11/30

-11/x^2-3x-28=11/30

-11/11=x^2-3x-28/30

-1×30=x^2-3x-28

-30=x^2-3x-28

x^2-3x+2=0

x^2-x-2x+2=0

X(x-1)-2(x-1)=0

(x-1)(x-2)=0

X=1 or x=2