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Solve the equation |3x + 4| = |3x - 11|

Here we have an equation involving absolute values. As a general rule |a| = +a and |a| = -a. We can apply that to our RHS. In the first case we get that 3x + 4 = 3x - 11, however after we subtract 3x from...

VB
Answered by Viktoria B. Maths tutor
8709 Views

Find the solutions to z^2 = i

Here z is a complex number, and therefore, z = a + bi. Thus, our equation becomes (a + bi)^2 = i. Expanding the brackets we get a^2 + 2abi + (b^2)(i^2) = i. Since i is the squ...

VB
Answered by Viktoria B. Maths tutor
36517 Views

What is a tritone and why should it be avoided when writing harmony in the style of Bach?

A tritone is an interval between two notes in a diatonic scale that is exactly half an octave. It's characterised by the interval of a diminished fifth, or augmented fourth. As an example of a tritone, ta...

MS
Answered by Marion S. Music tutor
8476 Views

What is feminist literary criticism?

At A level you're usually expected to make reference to some levels of literary criticism in your writing- literary criticism is when concepts and ideas belonging to particular schools of thought and acad...

MS
5388 Views

What is the difference between an acid and a base?

An acid when dissolved in a liquid, will produce hydrogen ions (H+) while a base will produce hydroxide ions (OH-). When a litmus paper is used to test acids and bases, acids turn the litmus paper red whi...

LS
Answered by Laudina S. Chemistry tutor
12147 Views

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