Question

solve using quadratic formula 1/x+4-1/x-7=11/30 where x≠ -4, 7​

Answer 1

1/x+4 -1/x-7 =11/30

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

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

-330=(x²-7x+4x-28)11

-330=11x²-77x+44x-308

-11x²+33x=-308+330

11x²-33x=22 {divide with 11}

x²-3x-2=0

x²-x-2x-2=0

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

x=2 or x= 1