Question

what is value of X , if X2+1 / X2-1 =5\4?

O 9/4
O4/9
O 3​

Answer 1

Answer:

9/4

I hope my answer was right

Answer 2

$\\ \\ \large\underline{ \underline{ \sf{ \red{given:} }}}$

$\sf \: \frac{ {x}^{2} + 1}{ {x}^{2} - 1 } = \frac{5}{4}$

$\\ \\ \large\underline{ \underline{ \sf{ \red{to \: find:} }}} \\ \\ \sf \: value \: of \: x.$

$\\ \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}$

We have ,

$\\ \\ \sf \: \frac{ {x}^{2} + 1}{ {x}^{2} - 1 } = \frac{5}{4} \\ \\ \sf \: cross \: multiplying \: we \: get... \\ \\ \sf \: 4( {x}^{2} + 1) = 5( {x}^{2} - 1) \\ \\ \sf \: 4 {x}^{2} + 4 = 5 {x}^{2} - 5 \\ \\ \sf \: 4 {x}^{2} - 5 {x}^{2} = - 5 - 4 \\ \\ \sf \: - {x}^{2} = - 9 \\ \\ \sf \: {x}^{2} = 9 \\ \\ \boxed{\sf \: \green{ x = + 3 }}\: \: \: \: \: \: \sf \: or \: \: \: \: \: \boxed{ \sf \: \green{ x = - 3}}$

Hence , x = 3 . Opt (3)