Question

a+1/a=-2 then asquare +1/a square =?​

Answer 1

Answer:

-6

Step-by-step explanation:

a+1/a=-2

a^2+(1/a)^2=(a+1/a)^2 minus 2

=-4-2

= -6

Answer 2

⭐️ IT IS GIVEN THAT...

$a + \frac{1}{a} = - 2$

AND

WE HAVE TO FIND ...

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

NOW TAKING...

$a + \frac{1}{a} = - 2$

On Squaring both the sides

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

${a}^{2} + (\frac{1}{a} ) ^{2} + 2 \times a \times \frac{1}{a} = 4$

${a}^{2} + ( \frac{1}{a} ) ^{2} = 4 - 2$

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

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