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A line joins 2 points (2,9) and (5,4). Calculate the gradient of the straight line and then write down the equation of the straight line.

The first thing to do is to look at the points given and decide if you are going to get a negative or positive gradient. We can determine, from inspection that the gradient will be negative because as the x ...
LM
Answered by Liam M. Maths tutor
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Find the roots of 2x^2-5x-6=0 to 3dps

if we see the phrase "to N dps" this is a big hint to use the quadratic formula. The first thing we have to do is to is pick out the co-efficients ax^2+bx+c=0 a=2, b=-5, c=-6 Now we can pug these n...
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Answered by Liam M. Maths tutor
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Simplify √90+√360+5√10

The object of surds is to look for square numbers in each term and take the square root of them. √90=√9 √10=3√10 √360=√36 √10=6√10 Therefore adding all the terms together 3√10+6√10+5√10=14√10
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Answered by Liam M. Maths tutor
5482 Views

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
11442 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...
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Answered by Dan M. Maths tutor
4205 Views