Question

If a + $\frac{1}{a}$ = 12, what is a - $\frac{1}{a}$

Answer 1

Answer:

√140

Step-by-step explanation:

a + 1/a = 12

$(a + \frac{1}{a}) ^{2}$ = 144

$a^{2} + 1/a^{2} + 2$ = 144

$a^{2} + 1/a^{2} + 2 - 4 = 144 - 4$

$a^{2} + 1/a^{2} - 2 = 140$

$(a - 1/a)^{2} = 140$

a - 1/a = √140

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