Question

if x²+1/x²=47. find the value of X+1/x​

Answer 1

Answer:

1+√46

Step-by-step explanation:

x^2+1/x^2=47

first we find the value of x.

x^2+1=47x^2

1=46x^2

1/46=x^2

x=1/√46

putting the value of x in eqn.

so, (1/√46+1)/1/√46

which is equal to 1+√46

Answer 2

Answer:

According to the question - x² + 1/x² =47

and we have to find the value of x + 1/x

So here we use an algebraic identity

(a² + b²) = (a+b)² - 2ab

putting values accordingly

= ( x + 1/x)² - 2(x)(1/x)

Value of (x + 1/x) is given to us that is 47.

= (47)² -2(x)(1/x)

= 47+2 = (x+1/x)²

=49 = (x+1/x)²

= √49 = (x+1/x)

= 7 = (x+1/x)

So, the value of (x+1/x) is 7.

Hope it helps you:-)