Question

Вгадай корінь рівнання Х-1/х=16 16/17

Answer 1

Ответ:

x1≈-0,05 - с округлением

x2=17

Answer 2

It says:

Answer in detail. Guess the root of the equation x-1/x=16+16/17

To solve this equation, we can use the following steps:

- Multiply both sides by x to get rid of the fraction: x^2 - 1 = 16x + 16/17 x - Subtract 16x from both sides: x^2 - 16x - 1 = 16/17 x - Subtract 16/17 x from both sides: x^2 - 16 17/17 x - 1 = 0 - Use the quadratic formula to find the roots of the equation: x = (-b ± √(b^2 - 4ac))/(2a), where a = 1, b = -16 17/17, and c = -1 - Simplify the expression: x = (16 17/17 ± √(272 289/289 + 4))/2 - Approximate the values: x ≈ 16.99 or x ≈ -0.06

Therefore, the roots of the equation are x ≈ 16.99 or x ≈ -0.06. You can check your answer by plugging these values into the original equation and see if they satisfy it.

I hope this helps you understand how to solve this equation. If you need more help, you can use some online calculators that can solve equations for you, such as Mathway, MathPapa, Softmath, Mathway, or Symbolab. You can also find some online resources that explain the theory and practice of solving equations, such as Online Calculator, Mathdf, or School Knowledge.