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Maths
GCSE

How do you complete the square to answer quadratic equations?

x2+6x-2 = 0

We use completing the square when the equation cannot be factorised. Begin by placing x2  in the brackets and halving the number in front of the x...

MM
Answered by Mikhailia M. • Maths tutor
4624 Views

y is inversely proportion to the square of x. y=10 when x=5. Express y in terms of x.

y is proportion to 1/x2. This can be written as y=k/x2 where k is a constant of proportionality. Given that y=10 when x=5, k can...

EH
Answered by Evan H. • Maths tutor
37091 Views

How would one multiply out brackets?

If asked to multiply out a set of brackets, one must remember to multiply each term in a set of brackets by every term in the other set of brackets. For example, (x+2)(x-4) = x2+2x-4x-8 = x

AR
Answered by Alden R. • Maths tutor
4685 Views

A right-angled triangle has an angle of 30 degrees and its hypotenuse has a length of 9cm. Find the length of either of the triangle's other two sides.

Please note that this solution is easier to explain with 2 diagrams 

The side opposite of the 30 degree angle: 

If we have the hypotenuse and require the length of the opposite side then we ...

CB
Answered by Ciaran B. • Maths tutor
5036 Views

Solve algebraically: 6a+b = 16 and 5a - 2b = 19

6a + b = 16 (1)

5a - 2b = 19 (2)

(1) x 2: 12a + 2b =32

(1) + (2): 12a + 2b + 5a - 2b = 32 + 19 = 51

17a = 51

a = 51 / 17 = 3

Substitue a = 3 back into (1): (6 x 3...

NR
Answered by Niva R. • Maths tutor
3378 Views

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