Simplifying Radicals
sqrt(9m^4
What is
3m^2
Solve using square roots.
x2=81
x=9,-9
What is the quadratic formula?
x=[-b+-sqrt(b2-4ac)]/2a
What is the equation to find the discriminant?
b2-4ac
Where can you find the solutions to the graphed quadratic?
The points where the parabola crosses the x-axis
sqrt(64n^6w^4
What is
8n^3w^2
Solve using square roots.
x2+8=45
x=6.08, -6.08
What two equations make up the quadratic formula?
axis of symmetry and discriminant
What are the possible types of solutions when finding the discriminant?
Two real solutions
One real solution
No real solutions
What are the solutions to the quadratic if you graph the points in the table below?
x y
2 0
3 3
4 4
5 3
6 0
x=2, 6
sqrt(49x^12
What is
7x^6
Solve using square roots.
3x2=-75No Solution.
Solve using the quadratic formula.
12x2+7x+2=0
Find the discriminant and state the number of real solutions.
-5x2+2x=-7
144, two real solutions
What equation do you use to find the axis of symmetry?
x=-b/2a
(5-sqrt3)(5+sqrt3)
What is
22
Solve using square roots.
4x2-3=61
x=4, -4
Solve using the quadratic formula.
2x2-3=-x
x=1, -1.5
Find the discriminant and state the number of real solutions.
8x2-4x+10=0
No real solutions
Draw a graph of a quadratic that has no solution.
This graph should show a parabola that is either upward facing and above the x-axis or downward facing and below the x-axis. Therefore it should never cross the x-axis.
sqrt(180)+sqrt(45)
What is
9sqrt(5)
Solve using square roots.
(x+2)2=25
x=3, -7
Solve using the quadratic formula.
2x2+3x-54=0
x=4.5, -6
What is the purpose of the discriminant?
To find the number and type of solutions for any given quadratic.
What is the table of x-y values that corresponds to the quadratic y=x2-6x+8
x y
1 3
2 0
3 -1
4 0
5 3