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Factorise and solve x^2 - 8x + 15 = 0.

The easiest way to solve this problems it via trial and error. For any quatdratic (a x 2 + bx + C = 0) , the coeficcent of x, (in this case b = 8) is the sum(+) of the two solutions and c is the product( ). ...
DM
Answered by Dominic M. • Maths tutor
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You are given a square which you are told has a total area of 100 squared centimetres. You are also told that one side of the square has dimension 4(3x + 2), and the other has dimension 8x - y. What are the values of x and y?

The first thing to know is that a square has equal sides, and that the area of a square is length x length. Therefore in this case Length x length = 100 or Length 2 = 100 ans so Length = square root of 100 =...
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Answered by Hannah A. • Maths tutor
5343 Views

how do you solve these simultaneous equations?

6x + y = 8 (1) 4x - y = 12 (2) Method 1 elimination: -Adding/subtracting the two equations together to eliminate one of the unknowns (1) + (2) 6x + y = 8 + 4x - y = 12 10x = 20 (/10) x= 2 sub 'x=2' into (2) ...
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Answered by Shriya G. • Maths tutor
5774 Views

The first 4 terms of a different sequence are: 9, 13, 17, 21. Find an expression for the nth term of the sequence.

To tackle sequence questions like this you first have to find the difference between each term of the sequence and this number will go in front of the 'n'. Then to find the full expression, you have to find ...
TM
Answered by Tanush M. • Maths tutor
13336 Views

Solve algebraically: 6a+b=16, 5a-2b=19

To solve these simultaneous equations, you must add/subtract both equatons from each other to eliminate one variable, allowing you to work out the value of the other. As you can see from these particular equ...
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Answered by Tanush M. • Maths tutor
6561 Views