Question

3.
If (x² + 1 / x^2 =7 find the
values of i) x + 1/x)​

Answer 1

Answer:

The value of  x + 1/x is ±3

Step-by-step explanation:

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

►$(x + \frac{1} {x})^2-2\times x \times\frac{1} {x} =7$

►$(x + \frac{1} {x})^2-2 =7$

►$(x + \frac{1} {x})^2=9$

►x+1/x = ±√9

►x+1/x = ±3

Answer 2

Answer:

x+1/x = ±3

Step-by-step explanation:

x² + 1/x² = 7

As wkt, ( a + b)² = a²+b²+2ab

||rly, ( x + 1/x)² = x²+1/x²+ 2x(1/x)

= 7 + 2(1)

= 9

=> ( x + 1/ x)² = 9

=> (x + 1/x) = ±3