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How do you solve a quadratic equation e.g. x^2 - 5x - 14 = 0?

Quadratic equations take the form ax^2 + bx + c = 0. In the case above, a = 0, b = -5, c = -14. In order to solve it, we can factorise the equation into the form (x+c)(x+d) = 0. The answers are then x = -c, ...
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Answered by Manal P. • Maths tutor
4003 Views

y = (x + 2)(x + 5)

steps as follows:x times x = x 2 2 times 5 = 102 times x = 2xx times 5 = 5xthen add these together:y = x 2 + 7x +10x = -2, -5; y = 0, 10
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Answered by Georgie L. • Maths tutor
3663 Views

Why do you need simultaneous equations?

This is an example of a simultaneous equation - 2X + Y = 5X + 3Y = 10 You can think of X and Y as apples and oranges from a market. You know that if you buy 2 apples and 1 orange it cost £5, but this doesn’t...
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Answered by Amelia G. • Maths tutor
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Raya buys a van for £8500 plus VAT at 20%.Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month. Find the ratio (in simplest form) of the deposit Raya pays to the total of the 12 equal payments.

Raya buys a van for £8,500 x 1.2 = £10,200. Total of 12 equal payments = 12 x £531.25 = £6375. Raya's deposit = £10,200 - £6375 = £3825. Ratio of the deposit Raya pays : Total of the 12 equal payments = 3825...
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Answered by Andrew B. • Maths tutor
30509 Views

A ladder of length 4.5m is leaning against a wall. The foot of the ladder is 2.3m from the base of the wall. What is the angle the ladder makes with the wall?

This is an application of trigonometry. The right angle in this case is between the wall and the floor and the hypotenuse is the ladder. The angle between the wall and the ladder can using the sine of the an...
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Answered by Nicci F. • Maths tutor
6280 Views