Question

if
$x {}^{2} + 1 \div x = 7 then \: find \: the \: value \: of \: x + 1 \div x$
in given quation number 2
​

Answer 1

Answer:

3 or -3

Step-by-step explanation:

=x^2+1/x^2=7

=(x+1/x)^2=x^2+1/x^2+2(x)(1/x)

=7+2

=9

3 or -3

Answer 2

EXPLANATION.

⇒ x² + 1/x² = 7.

As we know that,

⇒ (x + 1/x)² = x² + 1/x² + 2(x)(1/x).

⇒ (x + 1/x)² = x² + 1/x² + 2.

Put the value of x² + 1/x² = 7 in equation, we get.

⇒ (x + 1/x)² = 7 + 2.

⇒ (x + 1/x)² = 9.

⇒ (x + 1/x) = √9.

⇒ (x + 1/x) = 3.