Solve by Factoring
Quadratic Formula
Completing the Square
Solving
Random
100
x^2 +5x -14 =0
x=-2, 7
100
5x^2+8x-4=0
x=2/5, -2
100
What form do the equations need to be in to begin?
ax2+bx=-c
100
What is the GCF of
7b^2-63b+140=0
The GCF=7
100
Factor
x^2-25
(x+5)(x-5)
200
x(x-4)=0
x={0,4}
200
What is the first step for solving an equation using the quadratic formula?
Make sure the equation is in standard form, which means it should equal 0.
(Also, evaluate the discriminant.)
200
What is the formula to find the number that completes the square?
(b/2)^2
200
How many solutions does this equation have?
2x^2-7x+12=0
No real solution
200
What are all of the words we use that mean solutions to the quadratic equation? You must name all 4.
x-intercepts, zeros, roots, solutions
300
6x^2-11x+3=0
x={1/3, 3/2}
300
4x^2-16x-32=0
2+2sqrt3 and 2-2sqrt3
300
After the equation is solved to this (x-4)2=49, what is the next step to solve?
sqrt(x-4)^2=sqrt49
300
Solve
9x^2+30x+25=0
x=-5/3
300
When solving for the discriminant, when do you get 2 real solutions?
When
b^2-4ac
is > 0
400
7b^2-63b=-140
b=4
b=5
400
6x^2-12x+9=0
No Real Solution
400
Find the roots by completing the square.
x^2+12x+32=0
x=-4, x=-8
400
Solve by taking the square roots.
3x^2-28=-1
x=3, x=-3
400
How many equations do you need to create =0 after you take the square root in order to solve for x? Ex.
sqrt(x-4)^2=sqrt49
2 equations, one with the positive root and one with the negative
500
x^2+8x+16
x=-4
500
x^2+13x+19=0
(-13+sqrt93)/2 and (-13-sqrt93)/2
500
Find the zeros by completing the square
x^2-6x-2=0
3+sqrt11 and 3-sqrt11
500
Find the x-intercepts
3x^2-18=-25x
x={2/3, -9}
500
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