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recognise this equation has the form ax^2 + bx + c =0. An equation with this form is a __quadratic.__ Recognise in a quadratic equation there will be 2 values of x that will equal 0. These 2 values will multiply to make 'ac' add add to make 'b'. In this example, 'ac' is 1x-50=-50, and b is -5. What 2 numbers multiply to make -50, and add up to make -5? -10 and +5 multiply to make -50, and add to make -5. Therefore you would re-write the initial equation as (x-10)=0 and (x+5)=0. These become 2 new equations, now solve for these.x=10 and x=-5. The positive value of x is 10.

Answered by Ellis F.

Studies Economics at Leeds

When a fuel burns its hydrocarbons react with oxygen, complete combustion only happens if there is plenty of air to provide this oxygen. Hydrogen atoms bond to oxygen to make water vapour (H_{2}O), Carbon atoms bond to oxygen to make carbon dioxide (CO_{2}) and the maximum amount of energy is released (combustion is exothermic).

To get the smallest value of w-x we will need the smallest value of w and the largest value of x.

Our smallest possible value of w=41.

Our largest possible value of x=29.

So the smallest value of w-x = 41-29 = 12

Our smallest possible value of w=41.

Our largest possible value of x=29.

So the smallest value of w-x = 41-29 = 12

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.

Answered by Georgia E.

Studies Biochemistry at Leeds

In these situations, we can use an acronym called "BIDMAS". BIDMAS stands for: "brackets", "indices", "division", "multiplication", "addition" and "subtraction". This helps us to remember the correct order in which to work calculations out.
In the example 2 x 3 - 2 x 5, multiplication comes before subtraction, so we would do:
2 x 3 - 2 x 5 = 6 - 10
= -4

Bob - £90, Edmund - £350, George - £60.

Answered by Martina D.

Studies Computer Science at Southampton

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