Question

if a^2+1/a^2 = 7 and a not equal to 0 find a^2-1/a^2​

Answer 1

Answer:

$3\sqrt{5}$

Step-by-step explanation:

$a^4+\frac{1}{a^4}+2=49\\a^4+\frac{1}{a^4}-2=45\\(a^2-\frac{1}{a^2})^2=45\\a^2-\frac{1}{a^2}=\sqrt{45}=3\sqrt{5}$

Answer 2

Answer:

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a^4+1/a^4+2=49

a^4+1/a^4-2=45

[a^2-1/a^2]^2=√45

a^2-1/a^2=√45

a^2-1/a^2=√45=3√5

this is the correct answer...........

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