Which quadratic equation does x/x+1 + x+1/x = 5/2 reduce to, so that the formula can be applied (x ≠ 0, -1)?

Question

Accepted Answer

x^2 + x - 2 = 0. Combine the left side: x^2 + (x+1)^2/x(x+1) = 5/2 => 2(2x^2 + 2x + 1) = 5(x^2 + x) => 4x^2 + 4x + 2 = 5x^2 + 5x => x^2 + x - 2 = 0. (Its roots, by the formula, are 1 and -2.)

Which quadratic equation does $\frac{x}{x + 1} + \frac{x + 1}{x} = \frac{5}{2}$ reduce to,
so that the formula can be applied $(x \neq =$ 0, -1)?

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More Class 10 The Quadratic Formula practice

Which quadratic equation does x+1x​+xx+1​=25​ reduce to,so that the formula can be applied (x= 0, -1)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

Which quadratic equation does $\frac{x}{x + 1} + \frac{x + 1}{x} = \frac{5}{2}$ reduce to,
so that the formula can be applied $(x \neq =$ 0, -1)?