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Differentiate the equation: 3x^2 + 4x + 3

3x 2 + 4x + 3 = 6x + 4
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Answered by Kasam A. • Maths tutor
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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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Solve the simultaneous equation x+y=11(1), x^2+y^2=61 (2)

Make x the subject in the equation x+y=11(1). This will help us eliminate x in the second equation (2).x=11-y (3)Substitute (3) into (2)(11-y) 2 +y 2 =61Expanding the brackets and simplifying gives 2y 2 -22y...
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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...
MB
Answered by Molly B. • Maths 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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