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If a+1/a = 5, find the value of a² +1/a²​

Sagot :

NikolairodgersUwUidn

a - 1/a =5

take squaring both side

(a - 1/a )^2 = (5)^2

a^2 +1/a^2 -2.a.1/a =25

a^2+1/a^2 -2 =25

a^2+1/a^2 =27 (answer)

Answer:

[tex]a^2+\frac{1}{a^2}=23[/tex]

Step-by-step explanation:

[tex]a+\frac{1}{a}=5\\squaring\\a^2+(\frac{1}{a})^2+2\times a \times \frac{1}{a}=5^2\\a^2+\frac{1}{a^2} +2=25\\a^2+\frac{1}{a^2}=25-2=23[/tex]

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