Question

slove the x+1/x=15 1/15

Answer 1

Answer:

X= 14.933 or, 0.067

Step-by-step explanation:

X + 1/X = 15

=> x^2 + 1 = 15x

=> x^2-15x+1= 0

now Solving x2-15x+1 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

$x = \frac{ - b \: + - \sqrt{ {b}^{2} - 4ac } }{2a}$

In our case, A = 1

B = -15

C = 1

Accordingly, B2 - 4AC =

225 - 4 =

221

Applying the quadratic formula :

$x = \frac{15 + - \sqrt{221} }{2}$

√ 221 , rounded to 4 decimal digits, is 14.8661

So now we are looking at:

x = ( 15 ± 14.866 ) / 2

Two real solutions:

x =(15+√221)/2= 14.933

or:

x =(15-√221)/2= 0.067

select as brainliest.