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Tom thinks of a number. He squares it, adds 3 times the original number and then subtracts 18. The result is 0. What two numbers could Tom have been thinking of?

Formulate the problem algebraically:x2+3x-18=0This is a factorisation problem. To find the solutions, factorise:-Factors of x2 are 1 and 1, so answe...

GH
Answered by George H. Maths tutor
3681 Views

Prove that the square of an odd number is always 1 more than a multiple of 4

This is a nice little question off the 2018 Edexcel Higher Maths paper! When we heard the word 'prove' in a question at this level, automatically we should be thinking about using algebra to help us out! ...

TR
Answered by Thomas R. Maths tutor
3566 Views

Translate the following sentence: My friends and I like to help old people when we can. We have no time now because we get a lot of homework.

Things that they are testing here: 'to help' = helfen + DATIVE; 'because' = weil (sends main verb to the END); general adjectival endings and plurals ANSWER(S): Meine Freunde und ich helfen gern <...

ZG
Answered by Zac G. German tutor
1933 Views

Solve the simultaneous equations: 3x-y=1, x^2+y^2=5

x=1, y=2
x=-2/5, y=-11/5

CW
Answered by Chloe W. Maths tutor
4051 Views

How have ideas about atomic structure changed through history?

The Greeks were the first to think of atoms, Democritus defined an atom as the smallest indivisible piece of matter using the idea that if you continue to cut a material in half, you must eventually reach...

SW
Answered by Scott W. Chemistry tutor
3416 Views

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