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Solve x^2 - 7x + 10 = 0

First factorise: (x - 2)(x - 5) = 0 Then either: x - 2 = 0 so x = 2 or x - 5 = 0 so x = 5
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Answered by Aran D. • Maths tutor
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How can I revise for an English exam?

Many people allow English to fall to the bottom of their priority list when revising for exams. Unlike other academic subjects, English is not a sequence of learning facts for a simple question and answer.Bu...
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Answered by Alexandra P. • English tutor
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Rearranging equations

Quesiton: Solve 10x - 7 = 5x + 3, to find the value of x Answer: x = 0.5 Solution: First you must rearrange the equation so that all the like terms are on the same side: 10x - 5x = 3 +7 5x = 10 Then to find ...
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Answered by Hamid S. • Maths tutor
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f(x) = (4x + 1)/(x - 2). Find f'(x)

Quotient rule: (vu' - uv')/v^2 u = 4x + 1 u' = 4 v = x - 2 v' = 1 Input into formula: [(x - 2)(4) - (4x + 1)(1)](x - 2)^2 Simplify: [4x - 8 -4x - 1]/(x - 2)^2 = -9/(x - 2)^2
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Answered by Salah S. • Maths tutor
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The curve C has polar equation 'r = 3a(1 + cos(x)). The tangent to C at point A is parallel to the initial line. Find the co-ordinates of A. 0<x<pi

Tangent is parallel, therefore (dy/dx)=0. Find y: y = r sin(x) = 3a(1 + cos(x))(sin(x)) Differentiate y with respect to x dy/dx = 3a[(2cos(x) - 1)(cos(x) + 1)] = 0 Solve equation 2cos(x)- 1 = 0 cos(x) = 1/2 ...
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