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Find the two solutions to the quadratic equation x^2-9x+18

The constant 18 can be written in the form 3*6. Therefore the brackets will take the form (x 3)(x 6). In order to find the sign in between them, we have to write -9 using 3 and 6. -9=-3-6 so the brackets are...
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Answered by Felix A. • Maths tutor
5978 Views

Solve 3(x-2)=21

Firstly, I would explain to the student what exactly the question is asking you to do. When solving an equation we are finding the value of x. I would get the student to read the equation aloud, starting fro...
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Answered by Imogen N. • Maths tutor
14961 Views

What is the integral of x^x?

The integral of x^x can be solved by taking logarithms of the formula and getting xln(x) then using integration by parts it is given than u=ln(x) and dv=x therefore u'=1/x and v=(x^2)/2 using uv-(integral of...
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Answered by Nathan S. • Maths tutor
5497 Views

Differentiate the following equation with respect to x; sinx + 3x^2 - 2.

The first step with any differentiation question is to identify which variable you are differentiating with respect to. In this case the variable is x, so we know we're looking to differentiate each term inv...
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Answered by Ross A. • Maths tutor
5593 Views

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

15 can be rewritten as 3*5, so our factorisation must be in the form (x ? 3)(x ? 5). To determine the signs inside the brackets we need to find a way to make -8 from 3 and 5. This is done with -8=-5-3, so we...
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Answered by James W. • Maths tutor
5841 Views