Search over 10,000 free study notes

1. Start by simplifying the denominator  

          - We can write sqrt(12) as sqrt (4*3). 

          - This can be written as sqrt(4) * sqrt(3) 

          - We know the squ...

First, multiply all terms by (x - 1) to remove the quotient, and multiply out of the brackets: 3x + 2 + 3(x - 1) = 4(x - 1) >>> 3x + 2 + 3x - 3 = 4x - 4. Next, group all like terms on either side...

First of all, when we expand brackets we know that the x will be at the start of the brackets 

(x    )(x    )= 0

Look a the equation again, x²+5x+6=0. All of our numbers are posit...

Some students struggle to solve equations with unknowns on both sides. I think the easiest way to solve these types of equations is to use the balance method. This is where you treat the equation like a w...

times the whole equation by the denominator of the left fraction giving p(2q+4)(p+1) - (qp(p+1))/p

notice that p can be cancelled in the right fraction, and then times out to give

2qp^2 + 4p...