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Maths
GCSE

What are the two roots for the equation x^2 + 7x + 10 = 0

Start by looking for multiples of 10. You have the pairs 2 & 5 and 1 & 10. Both signs are positive in the original equation so it will either be positive 2 & 5 or positive 1 & 10. Clearly ...

ER
Answered by Edward R. Maths tutor
2836 Views

Factorise 12x^2 - 20x + 3

We know our answer is going to look like this: (ax + b)(cx + d).
First we can split our original equation in order to make it easy to simplify. As we know that 12 multiplied by 3 is equal to 36 we c...

EG
Answered by Emma G. Maths tutor
4053 Views

A family go into a shop, they buy three sandwiches and two packets of crisps. It costs them £9. Another family buy five sandwiches and six packets of crisps. It costs them £19. How much does two sandwiches and five packets of crisps cost?

We will call sandwiches S and packets of crisps C. These are the 'unknowns'. From the information we can write down two equations. Equation 1: 3S + 2C = 9 and Equation 2: 5S + 6C = 19. We need two equatio...

NW
Answered by Nicholas W. Maths tutor
3049 Views

Line A is parallel to the line 4y+12x=24. Find the equation of Line A if it passes through the point (5,40/3).

Line A and line 4y+12x+24 are parallel. This means that they have the same gradient. In y=mx+c the gradient of the line is m. We can rearrange the equation 4y+12x+24 to find m. To begin with subtract 12x...

CB
Answered by Chloe B. Maths tutor
3022 Views

Solve the simultaneous equations 3x + 2y = -7 and x=4y+21

Substitute in the second equation into the first to eliminate x from the first equation. Solve for y which should, when solved (shown below), equal -5. Sub -5 back into either equation in the place of y t...

JG
Answered by Jamie G. Maths tutor
3210 Views

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