Question

find the roots of the quadratic equation .

$\frac{1}{x - 3} - \frac{1}{x + 5} = 5$
please answer fast

Answer 1

find the lcm x-3,x+5: (x-3) (x+5)

1/x-3(x-3) (x+5)- 1/x+5 (x-3) (x+5)=5(x-3)(x+5)

simplify x+5-(x-3)=5(x-3)(x+5)

solve x+5-(x-3)=5(x-3)(x+5): x=2√110-5/5 x=-5+2√110/5

x=2√110-5/5 x=-5+2√110/5

find undefined points: x=3 x=-5

x=√110-5/5 x=-5+2√110/5