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How do you solve a quadratic inequality?

Treat it as a normal quadratic equation and solve by factorising: eg. x 2 - 5x - 24 > 0 x 2 - 5x - 24 = 0 (x + 3)(x - 8) = 0 x = -3 or x = 82) Sketch the curve, showing the points where the curve crosses ...
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Answered by Abeda A. • Maths tutor
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Tim flies on a plane from London to Tokyo. The plane flies a distance of 9000 km. The flight time is 11 hours 15 minutes. Work out the average speed of the plane in kilometres per hour.

Speed = Distance/TimeSpeed = 9000/11.25Speed = 800 km/h
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Answered by Nicholas E. • Maths tutor
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A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.

(In the following answer, y' denotes dy/dx , i.e. the derivative of y with respect to x , where y is a function of x ) y = (x-1)e -3x = uv , where u = x-1 and v = e -3x . We have that u' = 1 and using the Ch...
Answered by • Maths tutor
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How do I find the reultant force acting on an object sitting on a slope?

Firstly, you should consider what forces are acting on the object and in what direction. It helps to draw a large diagram to label. In most questions, the forces should be told to you. It helps to keep in mi...
Answered by • Maths tutor
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Factorise 2x^2 - 7x -4

2 x -4 = -8 -8 x 1 = -8 (2x^2-8x)+(x-4) 2x(x-4) + 1(x-4) (2x+1)(x-4)
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Answered by Nicola M. • Maths tutor
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