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How would I simplify (3x^2 − 8x − 3)/(2x^2 −6x) fully?

The above sample question was taken from the 2018 GCSE Maths Higher paper.First we simplify the numerator, 3x^2 - 8x - 3, which is a quadratic written in the form ax^2 + bx + c so we can simplify it by facto...
JM
Answered by Jude M. • Maths tutor
6670 Views

Solve 2x^2+7x+6=0

2x 2 +7x+6=0First this question is asking you to find out what x is, but to do that we need to factorise this equation.Find all the factors that multiply to make 6.3 and 2, 6 and 1Of these factors which one ...
BT
Answered by Billy T. • Maths tutor
5186 Views

Find the turning point of the curve whose equation is y = (x-3)^2 + 6.

The turning point can be found by using the concept of transformations. Firstly, it is important to form a relation between the values of a and b in an equation of the following form y = (x+a)^2 + b and the ...
SV
Answered by Sai V. • Maths tutor
4950 Views

Solve x^2=4(x-3)^2

Start by look at the right hand side of the equation, first expand (x-3) 2 which is also the same as (x-3)(x-3). This comes out to equal (x 2 -6x+9). Next multiply (x 2 -6x+9) by 4 which was left outside of ...
LR
Answered by Louis R. • Maths tutor
4868 Views

Find the length of X and Y of these two right angled triangles (pictured) and prove their congruence, stating the rule.

(draws two right angled triangles, one with sides 3 and 4 units with the hypotenuse labelled 'x', one with a side labelled 4 units and 'Y' with the hypothenuse labelled 5 units). The answer is in two parts. ...
MH
Answered by Megan H. • Maths tutor
3235 Views