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Solve for x: 2x^2 + 2x -24 = 0

The general formula of a quadratic is ax^2 + bx + c -> this is a quadratic 2) Factorise using common factor (=2) -> 2(x^2 + x - 12) = 0 3) Factorise the quadratic to (x + m)(x + n): the two numbers (m ...
YZ
Answered by Yige Z. • Maths tutor
11616 Views

Simplify: (3x+8)/5 > 2x + 1

Multiply both sides by 5: 3x + 8 > 10 x + 5 Move 3x to RHS by subtracting 3x from both sides: 8 > 7x + 5 Move 5 to LHS by subtracting 5 from both sides: 3 > 7x Make the coefficient of x equal 1 by d...
OD
Answered by Orlaith D. • Maths tutor
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Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).

f(x) = (x+2)(x+2) When f(x) = 0, x = -2. f'(x) = 2x + 4 When f'(x) = 0, x = -2, and corresponds to the minimum point. Therefore, the sketch of the curve will be a U-shaped parabola which touches the x-axis a...
OD
Answered by Orlaith D. • Maths tutor
4366 Views

Differentiate: 2(x^2+2)^3

This is a chain rule question. Unlike in ordinary differentiation we have more than just the single term 'x' with coefficient 1 raised to the power of something. e.g. x^3 Therefore, there is more steps. We c...
CA
Answered by Charlotte A. • Maths tutor
3670 Views

Sketch the graph of x^2+y^2-6x-4y=23

Firstly, to try and sketch this graph just going on the equation as it is above is a huge task for any maths student. The best way to approach this is to neaten it up with some algebra: -1: x^2+y^2-6x-4y can...
SA
Answered by Sam A. • Maths tutor
8842 Views