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Maths
A Level

Show that x^2 +6x+ 11 can be written as (x+p)^2 +q

x2 +6x +11this is a quadratic so we try to factorise it. x2 +6x can be turned into (x+3)2 -9 and we plus the 11 from the beginning so the final answer should look like (x+...

Answered by Abdullahi M. • Maths tutor
4380 Views

Solve the following simultaneous equations: y-3x+2=0, y^2-x-6x^2=0

(1) y-3x+2=0
(2) y2-x-6x2=0
Using (1): y=3x-2
Sub y value into (2): (3x-2)2-x-6x2=0
Expand the brackets: 9x2-13x+4-x-6x

Answered by Phoebe A. • Maths tutor
7281 Views

Prove that cos(4x) = 8(cos^4(x))-8(cos^2(x)) + 1

cos(4x) = cos(2(2x)) = 2(cos^2(2x)) - 1 = 2 (cos^2(x) - 1)^2 - 1 = 8(cos^4(x)) - 8(cos^2(x)) + 1

Answered by Harry T. • Maths tutor
5314 Views

How would you integrate (4x+1)^1/3 ?

Firstly, increase the power outside the brackets by 1 and divide the whole thing by the new power. This gives 3/4(4x+1)4/3Next, divide the whole thing by the derivative of the bracket. The deri...

Answered by Nicholas G. • Maths tutor
5977 Views

How many roots does the equation x^2 = x + 12 have and what are they?

x2 -x -12 = 0. Here we have rearranged the equation so that we have 0 on one side of the equation, allowing us to now factorise. (x - ...

Answered by Juzer E. • Maths tutor
3336 Views

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