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Can you explain the approach to solving IB maths induction questions?

Proof by maths induction is a type of proof used in mathematical analysis to demonstrate that a certain expression or statement P(n) involving an arbitrary neutral number n is true for all n belonging to ...

Answered by Vlad B. • Maths tutor

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Find the equation of the straight line passing through the points (7,5) and (8, 2)

To find the equation of a straight line we need two things, the gradient of the line and a point lying on the line. To find the gradient of this line we use the gradient formula: m = (y₂-y

Answered by Rory S. • Maths tutor

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Solve the equation: x^2 - 9x + 20 = 0

This is a quadratic equation, and is likely that x can satisfy either of two values. We know these must multiply to form 20 and summate to -9, and thus they are (x-4) and (x-5). Hence, x is either 4 or 5....

Answered by Pippa M. • Maths tutor

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Expand and Simplify: 16=(x-3)(x+3)

16 = (x-3)(x+3) --> 16 = x^2+3x-3x-9 --> 16 = x^2-9 --> x^2=25 --> x = +5 or -5

Answered by Thaarabi T. • Maths tutor

3958 Views

Prove algebraically that (4n + 1)² − (2n − 1) is an even number for all positive integer values of n.

First of all expand the brackets and simplify the expression given:(4n+1)(4n+1)-(2n-1)= 8n²+8n+1-2n+1= 8n²+6n+2= 2(4n²+3n+1). Since the expression can be factorised with 2...

Answered by Shiv M. • Maths tutor

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