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Using a method that is not factorisation, solve the equation (x^2) + 3x -4 = 0. Hence, sketch the curve produced by the equation

One method that could be used to solve the equation is using the quadratic formula given by:x = ( -b ± (b² - 4ac)^0.5) / 2a where ax² + bx + c = 0Substituting our values in...

Answered by Joseph W. • Maths tutor

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Initially, trucks A and B are travelling in opposite directions. A has mass 1000 kg and is travelling at speed 7ms^-1. B has mass 4000kg and is travelling at speed 2ms^-1. What is their speed and direction after collision if they move together?

The law of conservation of momentum states that for a system, under the influence of no external forces, the sum of the momenta of all objects, which are calculated by multiplying their masses and velocit...

Answered by • Physics tutor

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Describe the process of annealing aluminium and explain the purpose of it.

Prepare the metal surface by rubbing it with a bar of soap. Place the metal against firebricks and use a gas torch to heat the metal surface evenly. When the soap turns black, stop heating the metal and a...

Answered by Will A. • Design & Technology tutor

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Complete the square of the equation below.

Q. Complete the square : x²+ 4x - 12A. Completing the square is putting the given equation into the form (x + a) ² + bFirst, a = the coefficient of x 2so in this case a = ...

Answered by Victoria Y. • Maths tutor

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If the quadratic equation kx^2+kx+1=0 has no real roots, what values of k are possible?

The solutions to quadratic equations, which are of the form ax^2+bx+c=0 with a≠0, are given by the Quadratic Formula: x= [-b+-sqrt(b^2-4ac)]/(2a). However, all real numbers, whether negative or not, squar...

Answered by • Maths tutor

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