Solve 4x/(x+1) - 3/(2x+1) = 1
Firstly multiply through by (x+1)(2x+1) to get rid of the fractions and then expand the brackets. Then gather the terms on one side to get a quadratic equation (ie 3x^2 - x -2=0) and then simply solve this either by inspection or using the quadratic formula. We see that trying x=1 indeed gets us 0 hence we know that one root of the equation is (x-1) now all that's left is finding the other root which can be found by 'working backgrounds' ie what multiplies with x-1 to get 3x^2 - x -2. Doing this we obtain x=-2/3.
RB
Related Maths A Level answers
All answers ▸Find X log(x)=4 Base 10
Find the equation of the normal to the curve y = 2x^2 -3x +7 at the point x = 1.
The curve C has equation y = x^3 - 2x^2 - x + 9, x > 0. The point P has coordinates (2, 7). Show that P lies on C.
If the velocity of a particle is given by t^2+t, then determine the acceleration of the particle when t=4.