Solving by Roots
Factoring (factor or solve)
Comp. the Sq. or Quad Form.
You choose the method!
Review
100
x^2=9
x=3, -3
100
x^2+5x+6
(x+2)(x+3)
100
x^2+8x=10
x=-4 +/- sqrt(26)
100
x^2-16=0
x=8, -8 (roots)
100
Solve the equation: 5x+12=-7x-19
x=-31/12
200
3x^2=108
x=6, -6
200
x^2+4x+3=0
x=-1, -3
200
2x^2-12x=-6
x=3 +/- sqrt(6)
200
x^2-16x=-63
x=7, 9 (factor)
200
Write an equation: Slope is 6, y-intercept is -13.
y=6x-13
300
5x^2-30=195
x=7, -7
300
2x^2+x-36=0
x=-9/2, 4
300
x^2+5x=1
x=-5/2 +/- sqrt(29)/2
300
x^2+10x+25=0
x=-5 (factor)
300
Write an equation: Through point (7, -10) with slope of 12/5.
y+10=12/5(x-7)
400
-2x^2-12=20
x=4i, -4i
400
20x^2=-11x+3
x=4/5, -3/4
400
x^2-8x+9=-11
x=4 +/- 2i
400
x^2+14x+10=0
x=-7 +/- sqrt(39) (complete the square or quadratic formula)
400
Write an equation: Through points (2, -3) and (9, 5).
y=8/7 x - 37/7 or y+3=8/7(x-2) or y-5=8/7(x-9)
500
4x^2-60=7x^2+15
x=+/- 5i
500
7x^2+8x-3=-9x^2+6x
x=-1/2, 3/8
500
3x^2+75=-30x-9
x=-5 +/- i sqrt(3)
500
4x^2+12x=-12
x=-3/2 +/- sqrt(3)/2 (complete the square or quadratic formula)
500
Find the x and y intercepts, as well as the slope of the equation below. 10x-12y=120
x-int: (12,0) y-int: (0, -10) slope: 5/6
M
e
n
u