Completing the Square
Change this equation into vertex form:
x2+4x+ 7
(x+2)2+3
x2=16
x=4, -4
2x2+6x+4=0
x=-1
x=-2
x2+4x+3
x=-3
x=-1
Combine Like terms:
1. -13x+3+16x
2. 17x-3x2-6x+9+9x2-2x
1. 3x+3
2. 6x2+15x+9
Change into Vertex form:
x2+14x+15
(x+7)2-34
-5x2+100=-400
x=10, -10
2x2-5x-3
x=3
x= -1/2
x2+4x-45
x=5
x=-9
What would make C a complete square:
x2+8x+ C
x2+20x+ C
C=16
C= 100
What is the starting trinomial?
(x+6)2-13
x2+12x+23
8x2-7=193
x=5, -5
4x2+11x+6=0
x=-2
x= -3/4
x2-1x-72
x=9
x=-8
1. (3/7)*(8/10)
2. (7/9) / (5/6)
1. 24/70= 4/15
2. 42/45= 14/15
x2+9x+10
(x+(9/2))2- (41/4)
10x2+9=499
x=7, -7
4x2+12x+9=0
x = -3/2
3x2-27x+54
x=3
x=6
Change these into percentages:
1. 20/50
2. 35/20
3. 7/10
1. 40%
2. 175%
3. 70%
Change this quadratic into vertex form:
5x2+10+15=y
5(x+1)2 +10
9(2x-3)2+8=449
x=5,-2
3x2-12x-18 =0
x =2+√10
x=2−√10
4x2+12x-112=0
x=-7
x=4
Because of the coronavirus, your favorite store is on sale with pants 30% off and torso wear (shirts, jackets, sweaters, etc) are 40% off. You buy 3 shirts for 19.99 each and 3 pant for 49.99 each. How much did you spend?
Shirt: 35.982 + Pants: 104.979 = $140.96