Question

if x^2+1/x^2 =7 what is value of x+1/x​

Answer 1

Step-by-step explanation:

1 can be written as x² × 1/x²

x²+1/x² = 7

adding 2 on both sides

x²+1/x² + (2×1)= 7 +2

x²+ 1/x² + 2×x²×1/x² =9

LHS is in the form a²+b²+2ab = (a+b)², a=x, b=1/x

(x+1/x)² = 9=3²

x+1/x = +/- 3

Answer 2

Given:-

• x² + 1/x² = 7

To Find:-

• x + 1/x

Solution:-

➣ ( x + 1/x )² = x² + 1/x² + 2 * x  * 1/x

➣ ( x + 1/x )² = 7 + 2

➣ ( x + 1/x )² = √9

➣ x + 1/x  = 3