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Maths
GCSE

Factorise and solve x^2 - 8x + 15 = 0

Look for factors of 15 then when adding together equal -8. A solution to this is -5 and -3 as -5 x -3=15 and (-5)+(-3)=-8 . Therefore the factors of the quadratic are (x-5) and (x-3). Make (x-5)(x-3)=0 so...

Answered by Amrit S. Maths tutor
2659 Views

What is the easiest way to solve a simultaneous equation?

While the elimination method can be extremely easy for certain questions, it cannot be applied to all. Therefore, the substitution method is recommended because it can be applied to most cases of simultan...

Answered by William A. Maths tutor
2415 Views

Factorise fully 12x^2-20x+3

By factorising we're attempting to simplify this expression. When we factorise quadratics, typically this will result in two brackets. The content of these brackets, can be simply worked out with trial ...

Answered by Santiago O. Maths tutor
3744 Views

What are the two roots of the equation y=x^2+5x+6?

A root of a function is where the function equals zero. So to begin to solve we must set the function to equal zero.x^2-5x+6 = 0If the question didn't make it clear already, you should be able to identif...

Answered by Niamh M. Maths tutor
3127 Views

Samuel had 3 piles of coins, I, II and III. Altogether there was 72p. Pile II had twice as much as pile I. Pile III had three times as much as pile II. How much money was in Pile III?

  1. First let coins in pile I equal x. Then we the question tells us II has twice pile A so we can now write this as 2x. Finally, we can write pile III as 6x - reason is that III has three times pile II...
Answered by Syed R. Maths tutor
2541 Views

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