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Maths

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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 fra...

Answered by Daniel T. • Maths tutor

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

(x + 2)²+3

Answered by Dylan S. • Maths tutor

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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 i...

Answered by Stefanos R. • Maths tutor

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

(1) 4x²+ y² - 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) 4x²+ (2x +1)...

Answered by Kerry M. • Maths tutor

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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 s...

Answered by Sarah L. • Maths tutor

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