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First take the 3 over the other side to make the right hand side zero, turning it into a homogeneous equation: 3a 2 +4a-2=0. Since the expression on the left hand side cannot be factorised, we have to use qu...

We can use integration by parts to solve this question. If we look at the formula for Integration by parts: ∫u(dv/dx)dx = uv - ∫ v (du/dx) dx , we see that u must be multiplied by something else so therefore...

Firstly we have to factorize the quadratic. We do this by finding two numbers that multiply to -12 and add to 1.Looking at the factors of 12 we can see that x 2 +x-12= (x-3)(x+4)because -3 x 4 = 12 and 4-3=1...

If we want to make y the subject of our equation, we need to re-arrange our equation so that y is on its own on one side of the equation. Such as y=...To re-arrange our equation, we need to decide if we want...

The easiest way to solve this is to first eliminate the denominators by multiplying the whole expression by the lowest common multiple of 4, 3 and 6. In this case it is 12. If each fraction is multiplied by ...