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How do you factorise a quadratic equation into the form (x+A)(x+B), for example x²+x-6 =0?

Quadratic equations are always given in the form a x 2 + b x + c . One way of solving (finding values of x) and therefore factorising is to use the quadratic formula which is :x = −b ± √(b 2 − 4ac)/ 2a ,usin...
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Answered by India J. • Maths tutor
3147 Views

3 teas and 2 coffees have a total cost of £7.80 5 teas and 4 coffees have a total cost of £14.20 Work out the cost of one tea and the cost of one coffee.

You make simultaneous equations. 1.) 3T+2C=7.82.) 5T+4C=14.2Then you make either the C or the T coefficient equal in both equations. I choose to make the C coefficients the same. So I multiplied equation 1 b...
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Answered by Dan S. • Maths tutor
6555 Views

Determine the next two terms in this sequence: 2, 7, 9, 16, 25, ... , ...

In this sequence, there is no common difference between one term and the next making it more challenging to solve. However, if you look at the terms closely, you can see that each term is the sum of the prev...
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Answered by Eleanor W. • Maths tutor
13853 Views

Given that x : y = 7 : 4 and x + y = 88, calculate x - y.

From x : y = 7 : 4 work out an expression for x: x = y (7/4) and substitute into x + y = 88: y(7/4 + 1) = 88y( 11/4) = 88 y = 88 (4/11) = 8 x 4 = 24substitute this into x + y = 88 to get x = 88 - 24 = 64. x ...
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Answered by Tutor157746 D. • Maths tutor
4040 Views

Solve the simultaneous equations 2x + 7y = 15 and 3x + 6y = 21

Find the lowest common multiple of 2 and 3, which is 6. Multiply each term in the first equation by 3, and each term in the second equation by 2 to produce two equations with the same coefficient of x (which...
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Answered by Isobel R. • Maths tutor
3815 Views