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Prove that the square of an odd number is always 1 more than a multiple of 4

An odd number can be expressed by the formula "2n + 1" where n stands for any integer. Therefore, the square of any odd number can be expressed as:(2n+1)^2 = (2n+1)(2n+1) = 4n^2 + 4n + 1 = 4(n^2 + ...
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Answered by Edward B. • Maths tutor
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What is the range of the function y = x^2?

Every mathematical function has a range and a domain. The range of a function is the set of possible outputs the function has. In this case, we know that our output (y) must be a positive number because if w...
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Answered by Molly B. • Maths tutor
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The theme of loss is central to both Heaney’s “Death of a Naturalist” and Hosseini’s “The Kite Runner”. Do you agree?

Although at first glance, ‘The Kite Runner’, published in 2003, and Heaney’s collection of poems published in 1966 entitled ‘Death of a Naturalist’ seem to be from two entirely different realms of literature...
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How would I approach a 'to what extent...' question in my exam?

This type of question may seem very complicated but when broken down into steps becomes much more simple. A question asking 'to what extent...' you believe that something had an impact on something else is r...
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Answered by Elizabeth R. • History tutor
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Solve the following quadratic equation by factorization. Show your working.

4x 2 +20x+8=-16First add 16 to both sides of the equation, this gives 4x 2 +20x+24=0 We always want to set the equation =0 for a quadratic as we are unable to solve it otherwise.Then we look to see if there ...
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Answered by Lauren O. • Maths tutor
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