Question

mathematics problem

quadratic equation solve
$\frac{1}{x } - \frac{1}{x + b } = \frac{1}{a} - \frac{1}{a + b} .$

Answer 1

Answer:

Step-by-step explanation:

1/x-1/x+b can be written as b/x²+bx (by taking LCM of denominator and simplifying)

Similarly we can write 1/a-1/a+b as b/a²+ab

Equating both we get

x(x+b)=a(a+b)

Transposing

(x-a)b=(a-x)(a+x)

-b=a+x

x=-(a+b) let me know if the answer is correct