Question

solve the following quadratic equation x/x+1+x+1/x=34/35​

Answer 1

Answer:

Step-by-step explanation:

the given equation has no solution

x/x+1    +   x+1/x    = 34/35

thus, taking LCM we have :

(2x^2 + 2x + 1)/(x^2 + x) = 34/35

cross multiplying we have :

70x^2 + 70x + 35 = 34x^2 + 34

simplifying ,

36x^2 + 36x + 35 = 0

the above equation has complex roots.

no real roots since the discriminant is less than zero

discriminant is b^2 - 4ac which is 36^2 - 4*36*35 = -1224

the root of negative numbers isn't defined

but still if you want the answer it is :

-0.5 + [sqrt(34)*i]/12    and the other root is -0.5 - [sqrt(34)*i]/12

Hope it helps !!