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Maths
GCSE

Express 280 as a product of its prime factors.

2 * 2 * 2 * 5 * 7 = 280

Answered by Danny S. Maths tutor
4050 Views

Solve the simultaneous equations y = 5x^2 + 4x - 19 and y = 4x + 1

Okay, so for two simultaneous equations which both equal the same variable (in this example the variable they're equal to is y), the trick is to make both equations equal each other:so we can say that 4x ...

Answered by Guy H. Maths tutor
8779 Views

Solve x^2 - x - 12

As it is a quadratic, I can use the quadratic equation, or (-b +/- sqrt(b2-4ac))/2aHere our a = 1, b = -1 and c = -12. Substitute into the quadratic equation, this becomes (1 +/- sqrt(1 + (4*12...

Answered by Freya W. Maths tutor
2809 Views

Find both roots of the following equation x^2 + 2x - 4 = 0

There are many methods available to solve this - let's use the quadratic formula in this case.We know the formula is x = (-b +- sqrt(b^2-4ac))/2a.Here a=1,b=2,c=4,Hence, we know that x = (-2 +- sqrt(4 - -...

Answered by Amir H. Maths tutor
2332 Views

Find the points of intersection of the line y+x=8 and a circle with centre at (3,-2) and radius 5.

1 Circle Equation: (x-3)2+(y+2)2=52 2 Line Equation: y=-x+8Sub Equation 2 into 1(x-3)2+(10-x...

Answered by Jamie B. Maths tutor
1995 Views

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