Factoring
Solve the following quadratic equation by factoring:
f(x)=x2+2x+1
x2+2x+1=0
(x-1)(x-1)=0
x-1=0
x=1
Solve the following quadratic equation by completing the square:
x2-2x+()
x2-2x+()
(-2/2)2=(-1)2=1
x2-2x+1
(x-1)2=(x-1)(x-1)
=x2-2x+1
Solve by using the quadratic formula:
x2 + 3x – 4 = 0
x= -4,1
Solve using square root rule:
x2-12=0
x2=12
x= 2√3, -2√3
Find the vertex:
y = x2 + 16x + 71
(-8,7)
Solve the following quadratic equation by factoring:
f(x)=x2-8x+12
x2-8x+12=0
(x-2)(x-6)=0
x-2=0 x-6=0
x=2,6
Solve the following quadratic equation by completing the square:
x2+5x+()
x2+5x+()
(5/2)2=25/4
x2+5x+25/4
(x+5/2)2
=x2+5x+25/4
Solve by using the quadratic formula:
2x2 − 3x − 5 = 0
x=5/2,-1
Solve using the square root rule:
(k-6)2=49
√(k-6)2=√49
k-6=7
k=13, -1
Find the vertex:
y = 2x2 + 36x + 170
(-9,8)
Solve the following quadratic equation by factoring:
f(x)=x2-11x+28
x2-11x+28=0
(x-7)(x-4)=0
x-4=0 x-7=0
x=4,7
Solve by completing the square:
x2+8x-7=0
x2+8x=7
x2+8x+16=7+16
(x+4)2=23
x+4=+ or -√23
x=-4+√23 x=-4-√23
Solve by using the quadratic formula:
m2 − 5m − 14 = 0
x=7,-2
Solve using the square root rule:
(x+3)2=81
x=6, -12
Find the vertex:
y = x2 - 12x + 46
(6,10)
Solve the following quadratic equation by factoring:
f(x)=3x2+12x
3x2+12x=0
3x(x+4)=0
3x=0 x+4=0
x=0,-4
Solve the following by completing the square:
x2 + 10x +16 = 0
x2 + 10x +16 = 0
x2+10x=-16
x2+10x+(10/2)2=-16+(10/2)2
(x+10/2)2=9
(x+5)2=9
x= -2,-8
Solve by using the quadratic formula:
4b2 + 8b + 7 = 4
x=-1/2,-3/2
Solve using the square root rule:
(x+9)2=100
x= 1, -19
Find the vertex:
y = x2 -6x + 5
Solve the following quadratic equation by factoring:
f(x)=2x2+x-10
2x2+x-10=0
(2x+5)(x-2)=0
x-2=0 2x+5=0
x=2,-5/2
Solve the following quadratic equation by completing the square:
2x2+8x=12
x2+4x=6
x2+4x+()=6+()
x2+4x+(4/2)2=6+(4/2)2
x2+4x+4=6+4
(x+2)2=10
x+2=√10 x+2=-√10
x=-2+√10, -2-√10
Solve by using the quadratic formula:
5x2 + 9x = −4
x= -4/5, -1
Solve using the square root rule:
x2-11=25
x=6,-6
Find the vertex:
y = x2 + 4x
what is gorl?