Question

solve quadratic equation x/1+x +x+1/x =34/15 x=/0 ,x=-1​

Answer 1

Answer:

Solution :-

We have,

x/(x + 1) + (x + 1)/x = 34/15

By solving this, we get

x² + (x + 1)²/x(x + 1) = 34/15

x² + x² + 2x + 1/x² + x = 34/15

34x² + 34x = 15x² + 15x² + 30x + 15

4x² + 4x - 15 = 0

By solving in factorization method, we get

4x² + 10x - 6x - 15 = 0

2x(2x + 5) - 3(2x + 5) = 0

(2x + 5) (2x - 3) = 0

2x - 3 = 0 or 2x - 3 = 0

x = 3/2, - 5/2  (As x can't be negative)

x = 3/2

But here we get x = 3/2, - 5/2.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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