Solving Quadratic
x^2-4x+4=0
(x-2)^2=0
Out of the four methods to solve, which method is most efficient to use for
x^2-36=0
Square Root Method
Solve the system
y=-x^2+9
y=2x+6
(-3, 0), (1, 8)
When is
x^2-36<=0
(oo, -6]U[6, oo)
:(
:)
x^2-49=0
(x-7)(x+7)=0
Out of the four methods to solve, which method is most efficient to use for
x^2-8x+16=0
Factoring
Find the solution(s) to the following system
y=x^2-6x+10
y=4-x
(3, 1), (2, 2)
When is
x^2>5x+6
(oo, -1)U(6, oo)
No one is going to choose this so whatever
blah
3a=-11a-6
(x+3)(3x+2)=0
Out of the four methods to solve, which method is most efficient to use for
4v^2+7v-7=0
Quadratic Formula
What is the solution(s) to the following system
y=x^2-6x+7
y=-2x+3
(2, -1)
What is the solution to
2x^2-x+4>0
What are the four ways to solve quadratics and choose a method to create and example on when it would be most efficient to solve.
Square Root, Factoring, Complete the Square, Quadratic Formula.
2x^2-3x+11=0
x=(3+-isqrt(77))/4
-r^2=5x+50
Quadratic Formula
Solve for the solution(s) to the system below.
y=3x^2-7x+1
y=x-7
No solution
What is the solution to
5x^2-15x+10<0
(1, 2)
2 Solutions- Quadratic & Linear Function intersect twice.
1 Solution- Quadratic & Linear Function intersect one time.
No Solution- The Quadratic & Linear Function never intersect.
2a^2+20=12a
a=3+-i
Out of the four methods to solve, which method is most efficient to use for
3x^2+12x=-50
x=-2+-isqrt(114)/3
Solve for the solution(s) of the following system.
y=3x^2+21x-5
-10x+y=-1
(-4, -41), (1/3, 7/3)
What is the solution to
-3x^2+7x-5>=0
No solution
For quadratic inequalities, how do you tell if you have a special case? In addition, how could you tell the difference between a no solution and infinite solution scenario.
If the discriminant is negative (i) there is a special case. The difference between no solution & infinite solution is determined by the inequality (</>) and the direction of opening for the quadratic.