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Complete the square for the equation x^2 - 12x + 8 = 0

To complete the square, we will need to put the equation into the form (x - a)² - b + 8 = 0, where a is half of the coefficient of x (12 in th...

Answered by Mark J. • Maths tutor

4074 Views

Find dy/dx when y = 5x^6 + 4x*sin(x^2)

Looking at the first element of the equation 5x⁶, we can simply multiply 6 by 5 to give 30 and subtract 1 from the power of x. So d/dx[5x⁶] ...

Answered by Mark J. • Maths tutor

3177 Views

Simplify ln(e^2) - 4ln(1/e)
Using log rules, we can simplify the equation as follows: Firstly log(x^a) = alog(x) implies that ln(e²
MJ
Answered by Mark J. • Maths tutor
5197 Views
Factorise (5x^2 + 7x + 2)
This expression is in the form of ax^2 + bx + c, so you need to find two numbers which multiply to get ac and add to make b.
Step 1: Here a is not = 1, so you need to take out the highest common fact...
DJ
Answered by Daisy J. • Maths tutor
9366 Views
How do I find out the coordinates of the fourth point of a parallelogram knowing the first three?
Say the parallelogram is called ABCD, you know the coordinates of A, B and C and want to find out DFirst of all, you'll want to calculate a vector from one of the sides of the parallelogram, say A...
MG
Answered by Melzie G. • Maths tutor
4857 Views
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Top answers

Complete the square for the equation x^2 - 12x + 8 = 0

Find dy/dx when y = 5x^6 + 4x*sin(x^2)

Simplify ln(e^2) - 4ln(1/e)

Factorise (5x^2 + 7x + 2)

How do I find out the coordinates of the fourth point of a parallelogram knowing the first three?

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