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Rationalise the surd: 2/root(x)

To rationalise a surd means to manipulate a fraction involving terms which are being square rooted so that no term in the denominator is being square rooted. For this example 2/root(x) we multiply the fracti...
DT
Answered by Daniel T. • Maths tutor
11118 Views

(a) Express x +4x+7 in the form (x+ p) +q , where p and q are integers.

(x + 2) 2 +3
DS
Answered by Dylan S. • Maths tutor
4794 Views

For sketching the graph of the modulus of f(x) (in graph transformations), why do we reflect in the x-axis anything that is below it?

Let's remember what applying a modulus to any number actually does. Applying the modulus to a number just gives us back the positive version of that number- if it is positive, we get back itself, and if it i...
SR
Answered by Stefanos R. • Maths tutor
6183 Views

Using methods of substitution solve the following simultaneous equations: y - 2x - 1 = 0 and 4x^2 + y^2 - 25 = 0

(1) 4x 2 + y 2 - 25 = 0 (2) y - 2x - 1 = 0 Rearranging (2) into an equation of y in terms of x we have:y = 2x +1 now substituting into equation (1) 4x 2 + (2x +1) 2 - 25 = 0 and now expanding this equation w...
KM
Answered by Kerry M. • Maths tutor
3845 Views

Solve the equation 2y^(1/2) -7y^(1/4) +3 = 0

2y 1/2 -7y 1/4 + 3 = 0 We need to use a substitution to obtain a quadratic.Let y 1/4 = x (use the y with the smallest fractional power as your substitution)From this, we can see that y 1/2 = x 2 (using the l...
SL
Answered by Sarah L. • Maths tutor
6878 Views