Solving Quadratics Quadratics Knowledge Factoring General Knowledge Just some really hard random problems that I wouldn’t pick if I were you.
100
x=-2,2
x^2-1=3
100
Factoring
Completing the square
Quadratic Formula
that one other one that i forgot.
What are all the methods for solving a quadratic?
100
x(x+1)(x-1)
Factor x^4+x^3-x
100
A parabola.
What shape is a quadratic function when graphed?
500
2 and 97
Two prime numbers were written on a whiteboard. Each of these numbers was increased by one. This caused their product to increase by exactly 100. Which numbers were originally written on the board?
200
x=-2,-3
x^2+5x+6=0
200
x=-b+-sqrt(b^2-4ac)
————————-
2a
What is the quadratic formula?
200
2(x+2)(x+1)
Factor 2x^2+6x+4
200
ax^2+bx+c=0 (you gotta have that =0 part)
What is the standard form of a quadratic equation.
8
How many two-digit numbers give a perfect square when added to its “mirror” (the two-digit number written with its digits in reverse order)?
300
x= -9/2 +- sqrt(130)/2
Solve by completing the square.
x^2+9x+4=16.25
300
1, 2, or 3
How many terms can there be in a quadratic?
300
-7x(x+1)
Factor -7x^2+12x-19x
300
0, 1, or 2. (you have to list all 3)
List all the roots that can be in a quadratic equation.
Let N be the number of odd numbers written by the teacher. Recall that the sum of the first N odd
numbers is equal to N^2
(this can be easily proven by induction). After Mary deleted one of the numbers, there are now
(N-1) numbers on the board and the minimum their sum can be is N^2 – (2N-1)=(N-1)^2 . (The biggest number written by the teacher is Nth odd number, which is (2N-1)). Therefore, the sum of the remaining numbers on the board is between (N-1)^2 and N^2 . Since 700 is between 26^2
and 27^2 , we conclude that N = 27, which means that the missing number is 27^2 – 700 = 29. Answer: 29.
A teacher wrote out the first few odd numbers 1, 3, 5…. on a whiteboard. Mary erased one of the
numbers. The remaining numbers add up to 700. Which number was erased by Mary? Find all possibilities and prove that there are no others.
400
x=-5/2
4x^2+20x+25
400
1. standard form
2. square b/2 and add to both sides so that c is (b/2)^2
3. square root both sides
4. dont forget the +-!
Name the steps to completing the square.
400
x^2+x+1
Factor x^2+x+1
400
Graphing given domain.
What was the aim on 12/16/2021? (in math)
500
x=-93/28 +-sqrt(8593)/28
14x^2+93x+1=0
500
-b/2a
When a quadratic equation is graphed, it is a symmetrical parabola. The roots are the two values at y=0. What is the x value of the parabola’s vertex in terms of a,b, and c? (at what x value is the line of symmetry at?)
500
5(6x^2+x-5)
5(6x^2+6x-5x-5)
5(6x(x+1)-5(x+1))
5(6x-5)(x+1)
Factor 30x^2+10x-5(x+5)
500
Conjugate
What is the name of the opposite when you’re doing difference of squares?
Eg: the “opposite” (the question is asking for the name of the “opposite”) of 2x+1 is 2x-1.






Quadratics

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