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Simplify x^2 - 9x + 20

Firstly write out the equation x2 - 9x + 20 = 0. The aim is to find two numbers that multiply to make 20 and add up to make -9. Look at the constant without any x's , in this case it is 20. We ...

AM
Answered by Amrit M. Maths tutor
5214 Views

Mike has 4 blue balls, 6 green balls and 10 yellow balls what is the probability that he will pick a yellow ball.

It would be worked out by adding 4+6+10 to get 20 and then it would be number of yellow balls over total number of balls which would be 10/20. Depending on ability this may then be simplified down to 1/2....

GE
Answered by Georgia E. Maths tutor
1924 Views

The diagram shows a garden in the shape of a rectangle. All measurements are in metres. The length of the rectangle: 4+3x and the width of the rectangle: x+6. The perimeter of the garden is 32 metres. Work out the value of x

Perimeter of a rectangle is the sum of all the sides. Therefore: 2(4+3x) + 2(x+6) = 32. Then, you expand: 8+6x+2x+12=32. Then, 8x+20=32. Finally, 8x=12, meaning that x=3/2. 

SP
Answered by Sayakki P. Maths tutor
14631 Views

How do you solve an equation like x^2+3x-4=0

There are many ways of solving this equation, which is called a second order polynomial (where the order describes the highest power of x), let's focus on the most general for now: the quadratic formula. ...

VL
Answered by Victor L. Maths tutor
2901 Views

c is a positive integer. Prove that (6c^3+30c) / ( 3c^2 +15) is an even number.

Our starting equation (6c3+30c) / ( 3c2 +15)  can be factorised by 6c on the top row and 3 on the bottom row so you get 6c(c2+5) / 3(c2+5). Because (c2

LA
Answered by Lenya A. Maths tutor
5661 Views

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