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Find the solution(s) of 3(x^2)-6x+2=0

This is a quadratic equation and as such it has zero, one or two solutions depending on the value of the discriminant (b 2 -4ac). In this equation, a=3, b=-6 and c=2 so b 2 -4ac = 36-24=12. As this is >0 ...
AS
Answered by Angus S. • Maths tutor
4788 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
14066 Views

How do you find the gradient of a parametric equation at a certain point?

The easiest way to see this is with an example. So let us take the curve: x = cos(2t) , y = sin(t) with a point P where t = pi/6 The gradient at any point is equal to the derivative of y with respect to x at...
AD
Answered by Alex D. • Maths tutor
25480 Views

Forty-seven thousand, nine hundred and eighty-three people went to a football match. What is this number rounded to the nearest thousand?

With this question the first thing to help you tackle it would be write the number as digits, i.e.Forty-seven thousand, nine hundred and eighty-three = 47,983Now, you want this number to the nearest thousand...
AE
Answered by Alicia E. • Maths tutor
9581 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
5420 Views