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Simplify (2sin45 - tan45)/(4tan60) and leave your answer in the form of (sqrt(a)-sqrt(b))/c

To answer this question we need to remember the exact trig values.A trick I use for remembering these is the hand rule.For this you label any one of your hands with the set angles starti...

Answered by Isabella K. Maths tutor
3743 Views

f(x)= 2x^3 -7x^2 + 2x +3. Given that (x-3) is a factor of f(x), express f(x) in a fully factorised form.

We will mainly be using a whiteboard but here are some notes:Is (x-3) is a factor of f(x), then if x=3, f(x) =0. I.e. x=3 is a solution too. If we know x =3 is a solution we can solve the other 2 roots by...

Answered by Rumana R. Maths tutor
3568 Views

Solve these simultaneous equations algebraically: y=2x^2 - 7x + 4 & y=4x-1

As we have two equations of x for y we can make these equal to each other. This gives the following:2x2 - 7x + 4 = 4x - 1As with any quadratic we want to make it equal to 0. This gives the foll...

Answered by Nathaniel R. Maths tutor
3913 Views

What is the solution to x^2 + 5x - 7 = 0

X can be found by using the quadratic equation. x = -b plus or minus (b2-4ac)1/2/2a. We find that x=-5/2 plus or minus (53)1/2/2.

Answered by Sacha A. Maths tutor
3053 Views

A linear equation has terms: a+2b, a + 6b, a + 10b, ......., ........ the second term equals 8 and the fifth term equals 44. Work out the value of a & b

We are given the second term both as a number and an equation, so we can saya + 6b = 8We can then estimate the fifth term by continuing the pattern of adding 4b to each term in the sequence, which gives:T...

Answered by Jamie M. Maths tutor
2050 Views

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