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Solve algebraically the simultaneous equations, x^2 + y^2 = 25 and y – 3x = 13

First you need to pick a variable to solve for( irrelevant which one is picked) so I will choose to solve y first as in this question it is easier (as y has no coefficient). So make y the subject of the simp...
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Answered by Benjamin U. • Maths tutor
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The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 +2x+3. Express f(x) in a fully factorised form.

To factorise the equation, we first need to find one of its roots. To do this, we need to find values of x for which f(x)=0.First we will guess x=1.So f(1)=2(1 3 ) - 7(1 2 ) + 2(1) + 3 = 2-7+2+3=0This tells ...
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factorise 2x^2 - x - 6

2x 2 - x - 6 = (2x+3)(x-2)
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Answered by Hazel T. • Maths tutor
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write 560000 in standard form

5.6 x10^5
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Answered by Hazel T. • Maths tutor
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Simplify sqrt(12)

12 = 4 3Therefore sqrt(12) = sqrt(4 3) The square root of the product of two numbers can the written as the product of the square roots of the numbersHence sqrt(4*3) = sqrt(4) * sqrt(3) sqrt(4) = 2 So sqrt(4...
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Answered by Hazel T. • Maths tutor
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