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Solve "x^2 - 12x - 45 = 0" by completing the square

The equation is of the formx 2 +bx+c=0This means it can be rearranged to(x+(b/2)) 2 =(b/2) 2 -cTaking the square root of both sides leaves us with x. x 2 -12x-45=0(x-(12/2)) 2 -(12/2) 2 -45 = 0(x-6) 2 -6 2 -...
EJ
Answered by Elsa J. • Maths tutor
7083 Views

What’s the key thing that interviewers are looking for?

Interviewers fundamentally want to know whether you’ll be interesting to teach. “Supervisions”, or “tutorials”, are what makes the teaching at Oxbridge unique. A focus on regular, small group teaching is the...
DC
2582 Views

Consider f(x)=x/(x^2+1). Find the derivative f'(x)

To answer this question we need to decide which differentiation rule to use . The quotient rule looks like the obvious choice, so lets try that. If f(x)=u(x)/v(x) (being careful that v(x) is not zero anywher...
JH
Answered by Jack H. • Maths tutor
4851 Views

How do I find the roots of a quadratic equation?

A quadratic equation is one that contains an x^2 term that has a non 0 coefficient, There are three basic methods for solving a quadratic equation; factorising, completing the square, and the quadratic formu...
MC
Answered by MacGregor C. • Maths tutor
4721 Views

What is meant by the doctrine of Parliamentary sovereignty (supremacy)?

Parliamentary sovereignty is the idea, originating in this form in the United Kingdom legal system, that ‘Any Act of Parliament, or any part of an Act of Parliament, which makes a new law, repeals or modifie...
MO
Answered by Matthew O. • Law tutor
10251 Views