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Maths
GCSE

How do you factorise the following quadratic: x^2 - 5*x - 14?

An example of an application of factorising quadratics is to find the unknown in the equation, x. Factorising means writing the above equation in the form (x+a)(x+b)=0 Using FOIL (First, Outer, Inner, Las...

Answered by Emma P. Maths tutor
3145 Views

Solve: 3^(x^2-5x+2)=9^(x+1)

Considering that: 9=3^2. We get: 9^(x+1)=3^2*(x+1)= 3^(2x+2).

We thus solve x^2-5x+2=2x+2

which is x=0 and x=7

it will be demonstrated with more detail during the session 

Answered by Petros V. Maths tutor
2545 Views

Prove that 12 cos(30°) - 2 tan(60°) can be written as √k where k is an integer, state the value of k.

Conversion of trigonometric functions:

cos(30°) = √3 / 2

tan(60°) = √3

Computing equation with trigonometric substitutions:

12 cos(30°) - 2 tan(60°) = 12 (√3 / 2)...

Answered by Nic D. Maths tutor
7107 Views

How do you know when to use sin, cos and tan?

First draw the triangle and label all the information you have as well as the unknown angle or side length. There should be at least one angle labelled with some informtion - use this angle to label the o...

Answered by Anna W. Maths tutor
78496 Views

Expand and simplify the expression (x+5)(x+8).

This question is about multiplying two brackets together. There are two parts to each bracket: x, +3 and x, +5. The parts in the first b...

Answered by Jamie C. Maths tutor
14599 Views

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