Trivia and things
The total number of classrooms at Proof School.
What is 11?
The roots of x2+2x+3=0.
What are -1+sqrt(2)i and -1-sqrt(2)i?
How far you get after you take one step, then half a step, then one quarter of a step, then one eighth of a step, etc.
What is two steps?
The equation of the line of symmetry of the parabola y=-4(x+2)(x-9).
What is x=11/2?
The 16th prime number minus the 17th composite number.
What is 26(=53-27)?
The result of i1234.
What is -1?
The value of the square root of [pi plus the square root of [pi plus the square root of [...]]].
What is (1+sqrt(4pi+1))/2?
The number of lines with slope -5 tangent to the parabola y=x2-5x+1.
What is 1?
Proof's current street number (on Mission St.) plus Proof's future street number (on Main St.).
What is 1194(=973+221)?
The relationship between pairs of complex numbers such as 2+i and 2-i.
What is conjugate?
The result of starting with your favourite positive number, taking the reciprocal, adding 1, and repeating forever.
What is the golden ratio (or (1+sqrt(5))/2)?
The only integer satisfying the inequality 14x2-55x+50<0.
(It factors.)
What is 2?
The number of grey bins in 0-5.
What is 76?
A quadratic equation with real coefficients with root 6+7i.
What is x2-12x+85=0 (or equivalent)?
The number .676767... written as a fraction of integers.
What is 67/99?
The exact value of the discriminant of a quadratic with leading coefficient 3 and roots -10 and 2.
What is 1296?
This is Dr.V's birthday.
(Closest guess wins)
February 12
This 17th century French mathematician invented the term "imaginary numbers" and wrote about them:
... sometimes only imaginary, that is one can imagine as many as I said in each equation, but sometimes there exists no quantity that matches that which we imagine.
Who is René Descartes?
Miha will explain the game of Conway's soldiers.
Then he will tell you the question.
What is 4?
(The smallest number of soldiers required to reach level 2.)
The number of quadratics ax2+bx+c with roots 6 and 7, all coefficients integers, and a+b+c strictly between -100 and 100.
What is 6?