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How do I factorise and solve 2x^2+4x-6=0?

The 2 in front of the x^2 can cause confusion. In this case, the equation can be divided through by 2, to produce x^2+2x-3=0. From here it can be factorised by working out what adds to make '2' and times to ...
MR
Answered by Madeleine R. • Maths tutor
11475 Views

A curve is defined by the parametric equations x=t^2/2 +1, y=4/t -1. Find the gradient of the curve when t =2.

Firstly we would differentiate each equation with respect to t to find dx/dt and dy/dt- which gives us dx/dt=t and dy/dt=-4t^-2. Once you have found these you must divide dy/dt by dx/dt (or dy/dt x dt/dx) wh...
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Answered by Asha V. • Maths tutor
8297 Views

solve to 2 decimal places; (2x+3/(x-4)) - 2x-8/(2x+1) = 1

the key to this question is to remove all the unknown denominators. to do this first move the negative fraction to the other side of the equation to get 2x+3/(x-4)=1 + 2x-8/(2x+1). then we need to combine th...
DM
Answered by Dan M. • Maths tutor
4216 Views

There are n sweets in a bag. 6 are Orange, the rest are Yellow. Hannah takes a sweet out of the bag, and eats it, she does this twice. The Probability of Hannah eating two orange sweets is 1/3. Show that n^2 - n - 90 =0, and solve to find the value of n.

The first thing to recognise about this probability question, is the probability of eating an orange sweet from the bag. When she first puts her hand in the bag, there are a total of n sweets in the bag, and...
DD
Answered by Dylan D. • Maths tutor
10879 Views

A box has length 3x cm, width 2x cm and height x cm. The total surface area of the box is 2662 cm^2. Find an equation for the surface area of the box, and use this to find the true values of the dimensions of the box.

Here we are given the surface are of a cuboid box and the dimensions of the box with an unknown variable. Well the total surface area of a cuboid, is going to be the surface area of each of the faces of it a...
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Answered by Dylan D. • Maths tutor
9300 Views