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Find all the cube roots of 1

Let z be a cube root of 1 such that: z^3 = 1 z^3 - 1 = 0 Factorise: (z-1)(z^2 + z + 1) = 0 Then, z=1, the real root, or: z^2 + z + 1 = 0 with z not equal to 1 Use quadratic equation: z = (-1 +- sqrt(1-4))...

OS
4687 Views

Find the four roots of the equation z^4 = + 8(sqrt(3) + i), in the form z = r*e^(i*theta). Draw the roots on an argand diagram.

This is a maths problem, which I believe is best taught by live demonstration and explanation while constantly promtpting the student to suggest further steps if they are able. If they are not, then you s...

AW
9172 Views

The events that take place during interphase and mitosis lead to the production of two genetically identical cells. Explain how.

During the S phase of interphase, the DNA is replicated in a semi-conservative manner. The parent strands are seperated and each one is then used to synthesise a new daughter strand through the addition o...

CS
Answered by Conor S. Biology tutor
18303 Views

Define the term Covalent Bond

A covalent bond is formed by a shared pair of electrons between two atoms.

RO
Answered by Rex O. Chemistry tutor
3488 Views

Differentiate the equation y = (1+x^2)^3 with respect to (w.r.t.) x using the chain rule. (Find dy/dx)

For this example it would be better to use a dummy variable (a variable just to help with solving the equation but isn't a part of the final answer). Let us say our dummy variable, t = 1+x^2. So, substitu...

PA
Answered by Paolo A. Maths tutor
6353 Views

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