Question

solve for x
x/x-b + b/x-a=2by
by quadratic formula​
please answer

Answer 1

Answer:

Step-by-step explanation:

x/x-b + b/x-a=2

Step 1: Cross multipication

x(x-a) + b(x-b) = 2

= x^2-ax+bx-b^2 = 2

= x^2-ax+bx-b^2-2 = 0

Comparing it with ax^2+bx+c=0,

a= 1,   b= -(a+b),   c= -b^2-2

Quadratic formula=

x= -b+- whole root b^2-4ac/2a

Substituting values in the formula,

x= -[-(a+b)] +- whole root [-(a+b)]^2 - 4(1)(-b^2-2)/ 2*1

=  a+b  +- whole root (a^2+b^2+2ab) + 4b^2 + 8/ 2

=  a+b +- whole root a^2 + 5b^2 + 2ab +8/2

x= a+b + whole root a^2 + 5b^2 + 2ab + 8/2 OR

x= a+b - whole root a^2 + 5b^2 + 2ab + 8/2

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