Factoring & Square Roots
Solve by factoring or graphing:
6x^2+3x=0
x=0, -1/2
Solve:
x^2+4x-32=0
4, -8
A bedroom is 3 feet longer than it is wide and has an area of 154 square feet. Find the dimensions of the room.
Width: 11 ft
Length: 14 ft
Simplify:
i^(2)
-1
Simplify
i^(0)
1
x^2=49
x=7,-7
Solve:
4x^2-4x=1
(1+-sqrt2)/2
A ball is dropped from a point that is 984 feet above the ground. How many seconds will it take for the ball to hit the ground? Use the position equation to solve. Round your answer to the nearest hundredth.
h=-16t^2 + 984
About 7.84 seconds
Simplify:
(1+2i)-(4+2i)
-3
Simplify:
2(4-5i)
8 - 10i
Solve. Answer in simplest form: (x+9)2=24
-9+-2sqrt6
Solve:
3x^2+60=0
2isqrt3, -2isqrt3
The floor of a one-story building is 14 feet longer than it is wide. The building has 1632 square feet of floor space. Find the length and the width.
Length: 48 ft
Width: 34 ft
Simplify
(3+2i)^2
5+12i
Solve:
(x+5)^2=(x+4)^2
-9/2
Solve:
-6x^2=-48x
x=0, 8
Solve:
x^2-10x+22=0
5+-sqrt3
At 1815 ft tall, the CN Tower in Toronto, Ontario is the world's tallest self-supporting structure. An object is dropped from the top of the tower. Use the position equation to determine the time it takes to hit the ground. Round to the nearest tenth
h=-16t^2+ 1815
About 10.7 Seconds
Simplify
sqrt(-3)*sqrt(-12)
-6
Solve:
x^2+6x+10=0
-3+-i
Solve:
3/4x^2+8x+20=0
-20/3, -4
Solve:
(z+6)^2=-2z
-7+-sqrt13
At 1815 ft tall, the CN Tower in Toronto, Ontario is the world's tallest self-supporting structure. An object is dropped from the top of the tower. Use the position equation to determine the height of the object after 4 seconds. Round to the nearest tenth
h=-16t^2+ 1815
1559 ft
Simplify:
(2+3i)(4-2i)2
72 +4i
Solve the equation x3 - x = 10x2 - 10
1, -1, 10