Question

If x-1/x=√5, find the value of x²+1/x²​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

square both sides and apply the formula of (a+b)^2=a^2+b^2+2ab

u will get

x^2+1/x^2+2=5

therefore x^2+1/x^2=5-2=3

Answer 2

$\huge\mathtt\pink{A}\mathtt\red{N}\mathtt\blue{S}\mathtt\green{W}\mathtt\purple{E}\mathtt\green{R} \: 7$

Step-by-step explanation:

$\large x-\frac{1}{x}=√5$

square both sides

${\large \: (x - \frac{1}{x} )}^{2} = ({ \sqrt{5} })^{2}$

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

$\large \: {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 5$

$\large \: {x}^{2} + \frac{1}{ {x}^{2} } = 7$