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Maths
GCSE

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

x^2 - 8x + 15 = 0 

(x - 5) (x-3) = 0 

x = 5 or x = 3

Answered by Flora C. Maths tutor
2485 Views

Prove that (2*a^2 + 7a + 3)/(a + 3) is an odd number for any positive integer number, a.

We see that the numerator is a quadratic, so we factorise it to obtain:

(2a + 1)(a + 3)/(a + 3) = 2a + 1

Since a is a positive integer, we know that 2*a + 1 will always be an odd nu...

Answered by Nadia M. Maths tutor
2772 Views

Find the length of the hypotenuse if the right angled triangle's other two sides are of length 5cm and 12cm.

Use of a^2+b^2=c^2 must be included in the answer.

Furthermore the numbers must be put in the above equation to give: 5^2+12^2=c^2

This must then be solved to give: 169^0.5=c

The answ...

Answered by Sarah W. Maths tutor
2771 Views

4x^2 + 8x + 3 can be written in the form a(x + b)^2 + c where a, b and c are whole numbers. Work out the values of a, b and c.

Factorise 4x+ 8x + 3 = 4(x+ 2x + 3/4) divide the coefficient of x by 2: 2/2=1 Now x2+2x = (x+1)2-12 = (x+1)2-1 Hence, 4((x+1)2

Answered by Donny W. Maths tutor
11935 Views

Factorise x^2 - x - 6

You need 2 numbers that multiply together to make -6, and add together to make -1. The options to multiply to make -6 are: 6 and -1, -6 and 1, -3 and 2, 3 and -2. Looking at this list, the pair of numbers...

Answered by Charlotte G. Maths tutor
4199 Views

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