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How do you solve an equation by completing the square?

Firstly, you can only complete the square on quadratic functions (functions in the form Ax 2 +Bx+C) If A=1, C onsider B, the coefficient of x. Substitute it into ( x + (B/2) ) 2 . We know if we multiply this...
EJ
Answered by Emma J. • Maths tutor
5712 Views

If y = 2^x, find dy/dx

Q: If y = 2^x, find dy/dx. ANSWER: 1) Take Logs of both sides of our equation y = 2^x So we get: log(y)=log(2^x) 2) Apply relevant log rule to rhs: Log rule: log(a^b) = b . log(a) [nb: the dot between b and ...
BM
Answered by Bav M. • Maths tutor
69768 Views

Polynomial long division, how do I do it?

Polynomial long division is how to divide long functions f(x), called the dividend, by another function g(x), called the divisor. Which could lead to having a remainder, if it doesn't divide perfectly. Lucki...
GP
Answered by Giulio P. • Maths tutor
7731 Views

Discriminants and determining the number of real roots of a quadratic equation

What is a discriminant? A discriminant is a value calculated from a quadratic equation. It use it to ' discriminate' between the roots (or solutions) of a quadratic equation. A quadratic equation is one of t...
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Answered by Gus N. • Maths tutor
414131 Views

How can I find the area under the graph of y = f(x) between x = a and x = b?

You can find the area under this graph by evaluating the definite integral of y = f(x) with respect to x between x = a and x = b Please note: An area below the x-axis has a negative value Example: Find the a...
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Answered by Jonathan R. • Maths tutor
5535 Views