Question

write given equation in statement form x+1/x=5​

Answer 1

Answer:

x²-5x+1 = 0 is required equation.

Step-by-step explanation:

$x + \frac{1}{x} = 5$

Multiplying both sides by x , we get

$x(x + \frac{1}{x} ) = 5x \: \: \: \\ \\ {x}^{2} + x \times \frac{1}{x} = 5x \\ \\ {x}^{2} + 1 = 5x \: \: \: \: \: \: \: \: \\ \\ {x}^{2} - 5x + 1 = 0$

Answer 2

$\huge\underline\bold\red{Answer:-}$

Now,

x + 1 / x = 5

Multiplying both side by x,

We get

x ( x + 1/x ) = 5x

x² + x + 1/x = 5x

x² + 1 = 5x

x² - 5x + 1 = 0 - Ans

Thanks!