Factorise 6x^2 + 7x - 3=0
In order to solve the equation, we need to find a way to break the '7x' term in the middle that allows factorisation. We also need to consider the fact that the last term '-3x' has a minus sign. This broadens the possibilities of combinations that allow for factorisation.
After various attempts, we realise that 7x = -2x + 9x. Plugging this into the initial equation, we obtain 6x^2 - 2x + 9x - 3 = 0. After the initial factorisation, we obtain 2x(3x-1) + 3(3x-1)=0. This can be written as (2x+3)(3x-1)=0.
Qed. This means that the problem is solved.
SM
Related Maths A Level answers
All answers ▸The curve C has equation (4x^2-y^3+3^2x)=0. The point P (0,1) lies on C: what is the value of dy/dx at P?
A stone, of mass m, falls vertically downwards under gravity through still water. At time t, the stone has speed v and it experiences a resistance force of magnitude lmv, where l is a constant.
How would you differentiate and integrate 2x^3?
Find the minimum value of the function, f(x) = x*exp(x)