What are the square roots of 3+4i?

Expert Solution

Colby Messinger answered 2 years ago

Let z = 4 - 4i. find the sixth roots of z and represent them in...

Let z = 4 - 4i. find the sixth roots of z and represent them in the plane.

Write the following complex numbers in polar form, as ??^??. 1/3+4i

Newtons method for approximating square roots. The next iteration is the average of the previous iteration...

Newtons method for approximating square roots. The next iteration is the average of the previous iteration and the ratio of the number in question to the previous iteration.x_i = ( x_(i-1) + number/x_(i-1) ) / 2 if i is 0 the approximation is half the number. Pre: number & interations are non-negative integers Post: return an approximation of sqrt(number) , the return value is double double newton(size_t number, size_t iterations){}

I am asked to find the square roots using the bisection method for x * x...

I am asked to find the square roots using the bisection method for x * x - a = 0. I was wondering how the bisection method is performed. Let's suppose a = 9, so I would need to find the roots of x * x - 9 = 0. Also, from the 1st equation, when would the bisection method NOT output a root?

2.6 Consider all the possible sets of two square roots s, t of 1 (mod 35)...

2.6 Consider all the possible sets of two square roots s, t of 1 (mod 35) where s ≢ t (mod 35) (there are six of them, since addition is commutative (mod 35). For all possible combinations, compute gcd(s + t, 35). Which combinations give you a single prime factor of 35? 2.7 Using CRT notation, show what is going on for all the combinations you considered in #2.6. Explain why gcd(s + t, 35) sometimes gave you a factor,...

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. (a) ABCD is a parallelogram. If the position vectors of A, Band C are 4i...

. (a) ABCD is a parallelogram. If the position vectors of A, Band C are 4i + 8j, 3i + 6j and -5i - 2j respectively, find i. the direction vector of AB and the normal vector of BC, ii. the Cartesian equation of AD and the vector equation of CD, iii. the position vector of D. (b) The three vertices A, B and C of a triangle have position vectors a = -2i + 4j + k, b =...

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