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Find the solutions to this quadratic equation: 0 = 2x^2 - 5x - 3

First we need to factorise this quadratic. This will be in the form: 0 = (Ax + B)(Cx + D) You can work this out the values of A, B, C and D by looking at the coefficients in the unfactorised form. For exampl...
KB
Answered by Kathryn B. • Maths tutor
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Why is phenol nitrated more readily than benzene

The electron density in the phenol ring is higher than that of the benzene ring due to the presence of the OH group. This allows the electron substitution reaction to happen without a sulphuric acid catalyst.
Answered by • Chemistry tutor
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Let I(n) = integral from 1 to e of (ln(x)^n)/(x^2) dx where n is a natural number. Firstly find I(0). Show that I(n) = -(1/e) + n*I(n-1). Using this formula find I(1).

For the first part this is a standard polynomial integral whereby we can follow the power rule for anti-differentiation. In part ii), if we look at the question we see that we're trying to get I(n-1) in our ...
MP
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√ (6²+8²) = ∛(125a³) Find a.

6²= 36 8²=6436+64=100√ 100 =10Therefore, 100=∛(125a³)∛(125a³) =∛125 X ∛a³=5 X a =5aSo, 10=5aa=2
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Answered by Sarah M. • Maths tutor
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Starting with this extract, how does Dickens present the character of Scrooge?

In the extract, Scrooge is presented as a miserly, isolated character. Dickens employs a number of methods to demonstrate this to the reader. Firstly, Dickens' choice of adjectives which describe Scrooge's l...
EW
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