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The quadratic equation 2x^2+8x+1=0 has roots a and b. Write down the value of a+b and ab and a^2+b^2.

Since the quadratic has roots a and b, this means it can be fatored as 2(x-a)(x-b)=0. Expanding this out we get 2x^2-2(a+b)x+2ab=0 and matching the coefficients for the terms x^1 and x^0 we get a+b=-4 and...

JT
Answered by Joshua T. Maths tutor
5242 Views

How does the structure of a nucleotide contribute to the structure of DNA, and its function as a carrier of genetic information?

There are four DNA nucleotides: Adenine, Cytosine, Thymine and Guanine. They are each made up of a nitrogenous base, deoxyribose sugar, and a phosphate group, and the four nucleotides differ in the struct...

MA
Answered by Matthew A. Biology tutor
18037 Views

Explain why an increase in labour productivity is likely to reduce the deficit on the current account of the balance of payments.

A current account deficit arises when import expenditure exceeds export revenue. An increase in labour productivity implies that there is an increase in efficiency in production and also a rise in output ...

TE
Answered by Tom E. Economics tutor
16657 Views

Why is the derivative of 2^x not x*2^(x-1)?

That technique for calculating derivatives only works for polynomial terms, that is terms of the form x^n, where n is some number. Here though our variable x is in the exponent, and so th...

JG
Answered by Josh G. Maths tutor
3816 Views

"'Gladstone's attack on Disraeli's foreign policy was the most important reason for the Conservative defeat in the 1880 election.' How far do you agree? [50]" - How would one write an introduction to this essay question?

The introduction of an essay of this nature should aim to answer the question in relatively simplistic terms, in order to provide a basic outline which can be elaborated on throughout the body of the essa...

EG
Answered by Edward G. History tutor
4391 Views

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