Question

if the square of 2z-1/2z is 14,find the value of 4zsquare+1/4zsquare

Answer 1

hope this will help u .

Answer 2

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Here is your answer.

(2z - 1/2z )^2= 14

Now
$(2z - \frac{1}{2z} ) {}^{2} = 4 {z}^{2} + \frac{1}{4 {z}^{2} } - 2 \times 2z \times \frac{1}{2z} \\ \\ (14) = 4 {z}^{2} + \frac{1}{4 {z}^{2} } - 2 \\ \\ 4 {z}^{2} + \frac{1}{4 {z}^{2} } = 14 + 2 \\ \\ 4 {z}^{2} + \frac{1}{4 {z}^{2} } = 16$
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