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Official 2023 Paper 2 · Q1

Paper 2Algebra

Given that

1x−6−1x+6=311\frac1{\sqrt{x}-6}-\frac1{\sqrt{x}+6}=\frac3{11}

what is the value of xx?

A2152\sqrt{15}
B454\sqrt5
C525\sqrt2
D58\sqrt{58}
E5050
F5858
G6060
H8080

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