Find all Complex Numbers z such that |z| = |1/z|

Let’s assume that z = a + ib where a, b are Real Numbers and i is Imaginary Number iota.

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Let x1 and x2 be the roots of equation x2 – x + 1 = 0. Compute x1^2000 + x2^2000

Finding roots of Quadratic Equation x2 – x + 1 = 0 Usually any Quadratic Equation can be express as ax2 + bx + c = 0 where a, b, c are Real…

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Let x1 and x2 be the roots of equation x^2 – x + 1 = 0. Compute x1^1999 + x2^1999

Finding roots of Quadratic Equation x2 – x + 1 = 0 Usually any Quadratic Equation can be express as ax2 + bx + c = 0 where a, b, c are Real…

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Find roots of 3x^2 – 4x + 20/3 = 0

Finding roots of polynomial equations specifically Quadratic Polynomial Equation(a polynomial having degree 2) is quite important to learn as this concept can be utilised in so many places across whole of mathematics. Usually…

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Find roots of 21x^2 – 28x + 10 = 0

Finding roots of polynomial equations specifically Quadratic Polynomial Equation(a polynomial having degree 2) is quite important to learn as this concept can be utilised in so many places across whole of mathematics. Usually…

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Sum of two numbers is 15 and sum of their reciprocals is 3/10. Find the numbers.

Let’s suppose that first number is xThen other number will be 15 – x Because sum of both of these is 15 Also it’s given that sum of their reciprocals is 3/10 Which…

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