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Factorise: x^2+2x-3

think of it in the form of Ax^2 +Bx +C. Most of the GCSE examples will have A as zero so we will ignore the A. To factorise this you need to find what two numbers multiply to make C and adds to make B. In th...
KA
Answered by Katherine A. Maths tutor
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Solve x^2-5x+6=0

To solve this, we need to factorise the expression (write as a product of two brackets). To do this we want to find to numbers that multiply to make +6 and add up to -5, for this case. These numbers turn out...
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Answered by Samuel P. Maths tutor
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Write down the value of 36^0.5

We know that the question is asking us to take the number 36 to the power of 0.5. By assumption 0.5 can be written as 1/2. To take 36 to the power of a 1/2 we take it to the root of the denominator and then ...
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Answered by Thusikan V. Maths tutor
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A bag contains 5 red beads and 7 blue beads. Two beads are removed at random without replacement. Workout the probability that the two beads are the same colour.

This question is most simply solved with a probability tree diagram, where you just follow the paths of picking two same coloured beads. The first branch would be picking two red beads. P(R1) = 5 / 12, and P...
WM
Answered by Will M. Maths tutor
11833 Views

How do you find the equation of a circle?

The equation of a circle is given in the form (x-a) 2 + (y-b) 2 = r 2 , in which the centre of the circle is (a,b) and the radius of the circle is 'r'. If you can figure out or are given the co-ordinates of ...
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Answered by Zeeshan K. Maths tutor
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