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A circle has eqn x^2 + y^2 + 2x - 6y - 40 = 0. Rewrite in the form (x-a)^2 + (y-b)^2 = d.

The first step will be to rearrange the eqn so that the loose number appears on the RHS and the x and y terms are grouped. After this step the eqn will appear as x² + 2x + y² - 6y = ...

Answered by Rachel H. • Maths tutor

2890 Views

How do i solve quadratic equations?

Quadratic equations have a variable usually the letter x (but it could be any letter or symbol in theory).The value of x is unknown but you can work it out after following a few simple steps. Here is an e...

Answered by Charlotte H. • Maths tutor

2526 Views

Find the stationary points on the curve: y = x^3 + 3x^2 +2x+5

Firstly differentiate the function:f(x) = x³ + 3x² + 2x + 5 (function)f'(x) = 3x² + 6x + 2 (gradient function)
Stationary points are points where the graph ...

Answered by Nicolas C. • Maths tutor

5989 Views

What are the solutions to x^2+3x+2=0

Find two numbers that multiply to give 2 and add together to give 3: 1 and 2
Factorise: (x+2)(x+1)=0
The solutions are x= -2 and x= -1
Explanation: Brackets means you multiply, this means t...

Answered by Ridwan A. • Maths tutor

2427 Views

Solve the simultaneous equations 5x + y = 21, and x - 3y = 9.

2 unknowns? Let's make it into a simpler equation you know how to solve with only one unknown! How? Key is to note that you can add and subtract equations. You can also multiply the equations by some cons...

Answered by Sara H. • Maths tutor

3516 Views