Factoring
Solve the following quadratic equation from factored form. (2x-1)(x+5)=0
x = 1/2 x = -5
Solve the following quadratic equation by using square roots: x2 = 4
Solve the following Quadratic Equation using any method x2-x-10 = 2
x=4 and x = -3
What is the solution to the system of equations shown?
(0,0) and (3,3)
What TYPE of number is √21?
an irrational number
Solve the following quadratic equation by factoring. 2x2 - 12x + 10 = 0
x = 5 x = 1
Solve the following quadratic equation by using square roots: x2 = -121
+11i or -11i
Solve the following quadratic equation: 4x2 + 5x = 11
x = (-5 ± √201)/8
If the discriminant is a negative number, what type of solutions does the quadratic equation have?
2 complex solutions
Simplify √112
4√7
Solve the following quadratic equation by factoring. x2 - 6x - 24 = 3
x = 9 x = -3
Solve the following quadratic equation by using square roots: 2(x - 6)2 - 18 = 0
x = 9 and x = 3
Solve the following quadratic equation by using any method: 5x2 = -x + 4
x = 4/5 and x = -1
Based on the factored form of y=(x+3)(x+3) and the vertex form y=(x+3)2, what can you conclude about the graph of the parabola?
The vertex and x-intercept are both at (-3,0)
Simplify √-32
4i√2
When solving by factoring, why must the equation be set equal to zero first?
The y-value of the x-intercepts is zero and the solutions are represented by the x-intercepts.
Solve the following quadratic equation by using square roots: (x + 2)2 - 40 = 0
x = -2 +/- 2√10
Solve the following quadratic equation by using any method: 2x2 - 8x - 17 = 0
x = (4 ± 5√2)/2
Solve the system of equations
y=x2-4x+6
y=x+2
(1,3) and (4,6)
Simplify √5040
12√35
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
Solve the following quadratic equation by using square roots: (x+7)2 + 9 = 5
x = -7 ± 2i
Solve the following quadratic equation by using the quadratic formula: 8x2 + 4 = 4x
x = (1 ± i√7)/4
if i = √-1, what is i4?
i2 = -1 so i4=1
The simplified radical is 6i√14. What was the original problem before being simplified?
√-504