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What is completing the square and how do you do it?

Completing the square is just another way of solving a quadratic equation; It is useful if you cannot factorise the equation. When completing the square you want to end up with your equation in the format: (...
AA
Answered by Alexander A. • Maths tutor
4438 Views

Find the possible values of x when x^2+8x+15=0

In order to find the value of x we can first factorise the equation. To factorise a quadratic we put it in the form:(x+a)(x+b)=0When multiplying out this general term we get:x^2 + bx + ax + ab = 0This can be...
CB
Answered by Clare B. • Maths tutor
4500 Views

Show that 2sin(2x)-3cos(2x)-3sin(x)+3=sin(x)(4cos(x)+6sin(x)-3)

When proving trigonometric identites, we must show that the left hand side of the equation = the right hand side. Here we will start with the left hand side (LHS) and show that it is equivalent to the right ...
JB
Answered by Joe B. • Maths tutor
16630 Views

Find the nth term of the sequence 7,11,15,19...

The nth term is a formula that allows us to find the value of a term in a sequence given its position in the sequence, whether this is the second term (n=2) or the millionth (n=1000000). In the above sequenc...
JB
Answered by Joe B. • Maths tutor
57892 Views

How to differentiate 2x^5-4x^3+x^2 with respect to x

Rule of differentiating is to times down by the power and then reduce it by one. Firstly we will handle the 2x ​5 ​: (2*5)x 5-1 =10x ​4 If we do this with the rest of the terms we get: 10x 4 -12x ​2 +2x
JP
Answered by Jodie P. • Maths tutor
3721 Views