tmua 2023 Q1

tmua · Uk · paper2 1 marks Indices and Surds Solving Equations Involving Surds
Given that
$$\frac { 1 } { \sqrt { x } - 6 } - \frac { 1 } { \sqrt { x } + 6 } = \frac { 3 } { 11 }$$
what is the value of $x$ ?
A $2 \sqrt { 15 }$ B $4 \sqrt { 5 }$ C $5 \sqrt { 2 }$ D $\sqrt { 58 }$ E 50 F 58 G 60 H 80
..... 3
Given that

$$\frac { 1 } { \sqrt { x } - 6 } - \frac { 1 } { \sqrt { x } + 6 } = \frac { 3 } { 11 }$$

what is the value of $x$ ?

A $2 \sqrt { 15 }$
B $4 \sqrt { 5 }$
C $5 \sqrt { 2 }$
D $\sqrt { 58 }$
E 50
F 58
G 60
H 80