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Solve the equation 8x^6 + 7x^3 -1 = 0

The first thing to recognise is this is a quadratic in disguise, therefore we can rewrite the equation in terms of a new variable y.
Where y=x³
The equation then becomes 8y²

Answered by Kelan P. • Maths tutor

7287 Views

Integrate sinxcosx dx

Since the question is a trigonometry question, we shall use integration by recognisation, in which case, we found out that the derivative of sin x is cos x.Therefore by chain rule, we can integrate the fu...

Answered by Harris L. • Maths tutor

4423 Views

Find the values of x where x^(2) + 4x + 4 = 0

To solve this question we need to find the values of x which work for the equation x^(2) + 4x + 4 = 0. To solve the equation we can factorise the left-hand side into brackets which will m...

Answered by Ben A. • Maths tutor

7571 Views

Solve the simultaneous equations (1) 2x+3y=3 and (2) 3x+2y=7

Remember we can multiply both sides of an equation by the same thing without changing the meaning of the equation. Multiplying equation 1 by 2 gives 4x+6y=6 and multiplying equation 2 by 3 gives 9x+6y=21 ...

Answered by Zoe L. • Maths tutor

5400 Views

A geometric sequence has all its terms positive. The first term is 7 and the third term is 28.

THIS IS FOR MATHS STUDIES, NOT MATHS SLThe question is from the 2014 specimen paper
First, find the common ratio:U1 = 7U3 = 28
(Identify Formula): Un = U1 x r^n-1 U3 ...

Answered by Lottie W. • Maths tutor

4796 Views