Describing methods
What is the quadratic formula?
teacher will determine the correct answer
x2 + 3x + 2
"Systems of Linear and Quadratic Equations" means that we will be graphing a _______ equation and a _________ equation.
"Linear" and "Quadratic" or a "Line" and "Parabola"
x2+18x+32=0
(x+16)(x+2)=0
x=-16 and -2
(x-10)(x+20)=0
x= 10, -20
Describe how to solve using square roots
Use only with a missing x term. Isolate the x2 term. Take the square root of both sides-labeling the opposite side +/- and divide away any coefficient.
x2-9
x=3, -3
What is represented by a solution of a system of nonlinear equations?
Where they intersect
x2-4x-21=0
(x+3)(x-7)=0
x=-3,7
(3x+4)(x-4)=0
x= 4/3, 4
Describe how to solve using graphing.
Make a function table with inputs and outputs and graph the points. See where/if the function crosses the x intercept.
x2+4x=-3
x= -3, -1
Systems of Linear and Quadratic functions can have between how many solutions?
No Solutions, One Solution, and Two Solutions
x2+4x+3=0
(x+3)(x+1)
x =-3, -1
(x+4)(x-2)=0
x= -4 and 2
Describe how to solve using completing the square.
Make sure the equation is in ax2+bx=d form with an a value of positive 1. Add (b/2)2 to both sides of the equation. Factor the left side (it should be a perfect square not). Then solve using square roots.
3x2-6x+3=0
x=1
What are one solutions for the following system
y = x2 +2x +6
y=x+6
(0,6) and (-1,5)
x2-7x+10=0
(x-2)(x-5)
x=2, 5
(x+3)(x-7)
x= -3, 7
Tell me your favorite way to solve.
Quadratic formula, square roots, graphing, completing the square, factoring.
x2+2x+5=0
No real solutions
What are the solutions for the following systems x²+x+y=6
-3+y=x
(1,4) and (-3,0)
x2-36=0
(x+6)(x-6)
x=6, -6
(6x+2)(x-7)
x=-1/3 , 7