Question

(i) Write the reciprocal of 2 + 5√ 3 in the form a + b √ 3. (ii) Find the norm and the defining equation for the golden ratio: 1 + √ 5 2 .

(i) Write the reciprocal of 2 + 5/3 in the form a+b/3. 5 (ii) Find the norm and the defining equation for the golden ratio: –

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Answer #1

i Reciprocal of 2+513 in the form atbi3 2-513 2-513 2-53 2+513 2+5.3 2 -5.13 4 -25 (3) 2+5532 Norm & w. we 1 + √5 2 Norm = -1Defining Equation a = 1+ 15 - 2x = 185 Squaring + 2x1. 5 on both sides, - 122-1) - (15) a) 4x² + 1 - 4x = 5 - 4x² - 4x - 4 =Check images for complete answer.

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