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(a) Expand and simplify (x − 3)(x + 5), ..2 marks.. (b) Solve x^2 + 8x − 9 = 0 ..3 marks..

(a) Remember: Multiply each term in the left bracket by every term in the right bracket.(x-3)(x+5) = x²+ 5x - 3x -15.Collecting all of the like terms:= x²+ 2x -15.
(b) Solve x

Answered by Jack W. • Maths tutor

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Solve the simultaneous equations: x+y =2; x^2 + 2y = 12

The first thing to note about this question is that it's a simultaneous equations question, involving a quadratic. We will have to use substution in order to solve it. So first of all we need to chose whi...

Answered by • Maths tutor

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Why do I need to add the + C when finding an indefinite integral?

When you differenciate a function, the constant term turns to 0. So a lot of different functions like x²+ 7 and x²- 3 will have the same derivative, this means that going from the ...

Answered by • Maths tutor

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Simplify the following expression: √48+√(16 3/9) Give your answer in the form: (a√3)/b where a and b are integers.

The key to this question is to stay calm and not let yourself be intimidated. You can use the information provided in the question to give you a clear direction to head in- you want to factorise out root ...

Answered by Rob W. • Maths tutor

3114 Views

Given y = 3x^(1/2) - 6x + 4, x > 0. 1) Find the integral of y with respect to x, simplifying each term. 2) Differentiate the equation for y with respect to x.

When integrating remember the general rule: x^n --> x^(n+1)/(n+1). Now look at each term separately. 3x^(1/2) --> 3x^(3/2)/(3/2) = 2x^(3/2)-6x --> -6x^(2)/2 = -3x^24 = 4x^(0) --> 4x^(1)/...

Answered by Scott O. • Maths tutor

3047 Views