Search over 10,000 free study notes

If a set of equations has more unknowns than equations, you cannot get a value for each unknown. However, you can find the relationships between the variables.Start by rearranging one variable in terms of th...

To simplify a surd, remember that sqrt(a*b) = sqrt(a) sqrt(b) If either a or b are square numbers, you can simply write its square root. Hence, to simplify a surd, you must look for any factors of the number...

E.g you have 2 equations and have to set them equal to each other. 2x + 3y = 6 -3x + y = 2 multiply first equation by 3, second by 2 to get 6 x + 9y = 18 -6 x + 2y = 4 11 y = 22 y = 2 -6x + 2(2) = 4 -6x = 0 ...

When you differentiate, the constant disappears, because it is not dependent of the variable. So when you integrate, you have to add the constant again. However, you can't know the vaulue of c without being ...

For all quadratic equations, you can use the quadratic formula . Given an equation of the form ax 2 +bx+c , you can plug those values into this formula: x 1 , x 2 = (-b +/- sqrt(b 2 - 4ac)) / 2a Note: the te...