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Determine if the Following equality has real roots: (3*X^2) - (2*X) + 4 = (5*X^2) + (3*X) + 9, If the equation has real roots, calculate the roots for this equation.

From looking at this equality, we can see that this is a quadratic equation,This is because X2 is the highest order term we have in this equation:In order to find the roots of our equality, we ...

Answered by Dylan H. Maths tutor
2105 Views

How to factorise a quadratic

First, show how to multiply out two brackets, and the structure of such a question.When given a quadratic, such as x^2 + 4x - 32 (x+8)(x-4)to solve this, first making a list of factor...

Answered by Nicole L. Maths tutor
2091 Views

The curve C has equation y = 3x^4 – 8x^3 – 3 Find (i) dy/dx (ii) the co-ordinates of the stationary point(s)

i) dy/dx=12x^3-24x^2ii) the stationary points occur when dy/dx = 0 so we must find the solutions to 12x^3-24x^2=0.12x^3-24x^2= 12x^2(x-2)=0Therefore our stationary points are when 12x^2=0 ie x=0 and x-2=0...

Answered by Maths tutor
2154 Views

Integrate xlnx with respect to x

1/2 *x2*lnx -1/4x2+C

Answered by Matilda P. Maths tutor
2547 Views

What is the binomial distribution and when should I use it?

In statistics, we use the binomial distribution to model situations when we take an experiment (like rolling a die) and we repeat that experiment a certain number of times. Importantly, w...

Answered by Taylor E. Maths tutor
2308 Views

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