Calculate the Discriminant
The discriminant of
y = 3x^2 + 2x -4
is this.
52 ?
The solutions to the quadratic in factored form.
y=(x-9)(x+9)
What are x = 9 and x = -9
The first term in the quadratic formula refers to this feature of quadratics.
x= \frac{-b}{2a}+-\frac{sqrt(b^2-4ac)}{2a}
What is the Axis of Symmetry (aka center line)?
(-2 + i)(5 -3i)
-7 + 11i
This is
i^26
-1
The discriminant of
Y(x) = -8x^2 + 10x -3
is this.
What is 4?
The solutions to the quadratic in factored form.
y=3(x-5)(x+2)
What are x= 5 and x=-2 ?
x^2-3x-4=0
x=4 or x=-1
(3 + i)(3 + 5i)
4+18i
This is
i^100
1
The discriminant of
y=x^2-4x+4
is this.
The following quadratic results from this set of factors.
x^2-16=0
What is
(x-4)(x+4)
?
The number of solutions for the quadratic formula is this.
What is TWO SOLUTIONS?
Either both real or both complex.
(Sometimes duplicates)
(-3 + i)(2 + i)
-7-i
This is
i^(-2)
What is
1/i^2=1/-1=-1
Find the discriminant of:
f(x)=2x^2-7x+10
What is -31?
The solutions to the quadratic in factored form.
y=(3x-5)(x+2)
What are x = -2 and x = 5/3
Solved with the quadratic formula:
x^2 -x -2 = 0
What are x = 2 or -1
(5 + 3i)(4i)(7+2i^2)
-60+100i
This is
i^31
i^31=i^(7*4+3)
=-i
A value for "b" that would satisfy result in the following quadratic having two real roots is this.
y=3x^2+bx+3
What is any value
b^2-4(3)(3)>0
b^2>36
b>sqrt(36)
6<b and b<-6
The solutions to the quadratic in factored form.
y=(ax+b)(cx-d)
What are:
x=-b/a
x=d/c
Use the quadratic formula to get these solutions
\frac{-1+sqrt(15)*i}{2}
\frac{-1-sqrt(15)*i}{2}
(1+i)^4=this
(1+2i+i^2)(1+2i+i^2)
1+2i+i^2+2i+4i^2+2i^2i+i^2+2i^2i+i^4
1+2i+(-1)+2i+4(-1)+2(-1)*i+(-1)+2(-1)i+(1)
1+(-1)+4(-1)+4i-2i-2i
=-4
This is
i^40,000,000
i^(4n)=1