Question

If y+1/y =4 then what will be y²+1/y²=?

Answer 1

$y + (1 \div y) = 4 \\( y + (1 \div y))^{2} = 16 \\ {y}^{2} + {(1 \div y)}^{2} + 2 = 16 \\ {y}^{2} + (1 \div {y}^{2} ) = 14$

Answer 2

Answer:

$y^{2}+\frac{1}{y^{2} }=14$

Step-by-step explanation:

$y+\frac{1}{y}=4\\(y+\frac{1}{y})^{2}=(4)^{2}\\y^{2}+\frac{1}{y^{2} }+2*y*\frac{1}{y}=16\\y^{2}+\frac{1}{y^{2} }+2=16\\y^{2}+\frac{1}{y^{2} }=16-2 \\y^{2}+\frac{1}{y^{2} }=14$

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