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How do you complete the square to answer quadratic equations?

x 2 +6x-2 = 0 We use completing the square when the equation cannot be factorised. Begin by placing x 2 in the brackets and halving the number in front of the x (also known as the coefficient of x) to form (...
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Answered by Mikhailia M. • Maths tutor
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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/x 2 . This can be written as y=k/x 2 where k is a constant of proportionality. Given that y=10 when x=5 , k can be found as yx 2 which is equal to 25. Therefore; y=25/x 2 .
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Answered by Evan H. • Maths tutor
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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) = x 2 +2x-4x-8 = x 2 -2x+8. An inc...
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Answered by Alden R. • Maths tutor
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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 would use sin ( Soh...
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Answered by Ciaran B. • Maths tutor
5451 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) + b = 16 18 + b = 16 b = 16 - 18 = - 2 Subs...
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Answered by Niva R. • Maths tutor
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