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We see that the numerator is a quadratic, so we factorise it to obtain: (2 a + 1)(a + 3)/(a + 3) = 2 a + 1 Since a is a positive integer, we know that 2*a + 1 will always be an odd number.

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 answer can be found without ...

Factorise 4x 2 + 8x + 3 = 4(x 2 + 2x + 3/4) divide the coefficient of x by 2: 2/2=1 Now x 2 +2x = (x+1) 2 -1 2 = (x+1) 2 -1 Hence, 4((x+1) 2 -1+3/4) = 4(x+1) 2 -1 which is of the form a(x + b) 2 + c So a=4, ...

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 th...

This question is about rearranging the equation so that all the known variables are on one side and all the unknown variables are on the other side. To start with we can look at the x terms, remembering to r...