Substitution and Elimination
Solve by elimination:
4x+2y=9
-4x+3y=16
What is (-1/4, 5)?
Standard form of the Quadratic Function
y=Ax^2+Bx+C
Solve for the imaginary unit of i
√-12
i√4 x 3 = 2i√3
Classify and put in standard form:
3x+9x^2+5
9x^2+3x+5= quadratic trinomial
Write in simplest form:
3√54x^5
3x 3√2x^2
Solve by substitution:
x+3y=5
-2x-4y=-5
What is (-2.5,2.5)?
The goal of a matrix looks like
{1 0| A}
{0 1| B}
√-25
√-1 x 25 = 5i
How do you find the x for polynomial equations in a calculator?
Write in simplest form:
√72x^3y^2 x √10xy^3
12x^2y^2√5y
The first step to solving by substitution
What is isolate a variable into one equation?
The axis of symmetry
x= -B/2a
Add
(4-3i) + (-4 +3i)
(4-4) + (-3i + 3i)
0 + 0
Solve using calculator:
x^3+x^2=x-1
Write in simplest form:
(4+2√2)(5+4√2)
36 + 26√2
When you multiply each side of one or both equations in a system by the same nonzero number.
What is Equivalent Systems
Factor:
x^2+9x+20
(x+4)(x+5)
(Adds up to nine, multiplies to twenty)
Subtract
(1 + 5i) - (3 - 2i)
7+(-7i)=7-7i
Use long division to determine:
x^4-1; x^5+5x^4-x-5
(x^4)(x+5)
Write in simplest form:
16^-2.5
1/1024
-x+y=-2
2x-2y=0
What is no solution.
Factor:
x^2-6x+9
(x-3)(x-3)= (x-3)^2
Multiply
(3i)(-5+2i)
-15i+6(-1)
-6-15i
Use synthetic division to determine:
x^3-57x+56 by x-7
x^2+7x-8
Write in simplest form:
(8x^15)^-1/3
1/2x3