Search over 10,000 free study notes

The most important fact to remember with this question is that two perpendicular straight lines have gradients related by m₁ = -1/m_2. This can then be used to find the gradient of t...

The equation is of the formx²+bx+c=0This means it can be rearranged to(x+(b/2))²=(b/2)²-cTaking the square root of both sides leaves us with x.
x²-12x-45=0...

To answer this question we need to decide which differentiation rule to use . The quotient rule looks like the obvious choice, so lets try that. If f(x)=u(x)/v(x) (being careful that v(x) is not zero anyw...

A quadratic equation is one that contains an x^2 term that has a non 0 coefficient, There are three basic methods for solving a quadratic equation; factorising, completing the square, and the quadratic fo...

You would multiply both numerator and denominator by the expression (root3 +1)/(root3 +1). This expression is equal to 1 hence the original expression remains unchanged. The new expression is now (8(root...