Question

$If\ x^2 - 7x + 1 = 0,\ what\ is\ x + \frac{1}{x}?$

Answer 1

Let's solve your equation step-by-step.

x2-7x+1

Step 1: Subtract 1 from both sides.

x2−7x+1−1=0−1

x2−7x=−1

Step 2: The coefficient of -7x is -7. Let b=-7. 
Then we need to add (b/2)^2=49/4 to both sides to complete the square.
Add 49/4 to both sides.

x2−7x+49/4=−1+49/4

x2−7x+49/4=45/4

Step 3: Factor left side.

(x−7/2)2=45/4

Step 4: Take square root.

x−7/2=±√45/4

Step 5: Add 7/2 to both sides.

x−7/2+7/2=7/2±√45/4

x=7/2±√45/4

x=7/2+3/2√5 or x=7/2+−3/2√5

x= 7+3/5√5

x = 10/5√5

x= 5√5

Answer:

x=5√5

thanks
if you like my answer then mark it as brainliest it's comes above my answer and follow me

Answer 2

check the attachment

hope it helps