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What are the coordinates of the two turning points of the curve y = x^3+3x^2+3?

To find the turning points we need to find dy/dx and set it equal to zero. From there we can find the x coordinate and substitute it back into the origional equation to find the y coordinate. First we differ...
LD
Answered by Lauren D. • Maths tutor
9900 Views

Solve this pair of simultaneous equations (1) 5x+2y=20 and (2) x+4y=13

To solve these equations, our aim is to find a value of x and a value of y that satisfy both equations at the same time. By satisfy we mean, if we plug our values in for x and y then the left hand side and r...
JH
Answered by Jenny H. • Maths tutor
4818 Views

Solve the simultaneous equations 2x+2y=14 and 3x-y=1

To solve these eliminations, we must eliminate either the x's or the y's. Either is possible but let us start with the y's. There is 2y in the first equation and (-1)y in the second, so we will have to multi...
AS
Answered by Angus S. • Maths tutor
7984 Views

Solve x^2 + x -12= 0 for all values of x.

This is a quadratic equation so there are two main methods you can use to solve it- factorising and completing the square. My preferred method and the one I will demonstrate is factorisation . The above equa...
SF
Answered by Sam F. • Maths tutor
13995 Views

Solve the simultaneous equations 2x + y = 7 and 3x - y = 8.

While there are several ways to solve this, in this particular case I would favour the method of elimination. Since the value of y is the same and they have opposite signs, we can add the equations together ...
HB
Answered by Hannah B. • Maths tutor
5405 Views