solve for x
x/x-b + b/x-a=2by
by quadratic formula
please answer
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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
Hope it helps you. Please mark it as brainliest.
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