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Maths
A Level

Rationalise the denominator of \frac{6}{\sqrt{2}}.

When rationalising, multiply the fraction by the denominator - so what that means is multiply the fraction by the square rooted number over the square rooted number. The numerators then multiply to give 6...

AR
Answered by Akash R. Maths tutor
4517 Views

Using the "complete the square" method, solve the following x^2 +4x - 21 =0

x2+4x-21= 0,  This can be factorised into brackets as shown: (x+2)- 4 - 21 = 0 SImplified, so all x's are on one side of the equation: (x+2)= 25, Removing square root,...

CS
Answered by Charlotte S. Maths tutor
5477 Views

Differentiate y= 8x^2 +4x +5

dy/dx= (2 * 8)x(2-1) +4 = 16x + 4

JJ
Answered by Juevaneeta J. Maths tutor
3814 Views

Express (3 + 13x - 6x^2)/(2x-3) in the form Ax + B + C/(2x - 3)

The answer is -3x + 2 + 9/(2x-3). That is A = -3, B = 2 and C = 9.

I will use the whiteboard during my interview to explain the working.

SM
Answered by Sam M. Maths tutor
5143 Views

Using the substitution u = 2 + √(2x + 1), or other suitable substitutions, find the exact value of 4 0 1 ∫ 2 (2 1) +√ +x dx giving your answer in the form A + 2ln B, where A is an integer and B is a positive constant

I will attach a file with the solution during the interview because it is difficult to type the solution in here.

GB
Answered by Georgica B. Maths tutor
9544 Views

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