Factoring a = 1 or a does not equal 1
Factor
x2 -12x+20
(x-2)(x-10)
Simplify
Square root of 8
2 square root of 2
Solve for x
14 - 3x2 = 8
Solve the equation by completing the square
x2 - 9 = -8x
x = 1, x = -9
Find the discriminant
9x2 + x + 7 = 0
-251
Factor
x2 +7x +12
(x+3)(x+4)
Square root of 72
6 square root of 2
6 + 3x2 = 18
x = 2, x = -2
Solve by completing the square
x2 + 6x = -5
x = -5
x= -1
Use the quadratic formula to solve.
5r2 +24r - 3 = 2
r = 1/5
r = -5
Factor
x2 - 11x +24
(x-3)(x-8)
Simplify
(-6-4i) - (8 +4i)
-14 - 8i
Solve for x
3(x+5)2 - 13 = -1
x = -3, x = -7
Solve by completing the square
x2 + 2x - 48 = 0
x = -8 and x = 6
Solve by using the quadratic formula
9k2 + 30k + 25 = 0
k = -5/3
Factor
5x2 +26x +5
(5x+1)(x+5)
(9 + 6i) + (5 + i)
14 + 7i
Solve for x
2(x-7)2 - 31 = 1
x = 11, x = 3
Solve by completing the square
x2 - 35 = 2x
x = -5 and x = 7
The width of a rectangle is 3 units less than the length. The area of the rectangle is 18 square units. What is the width of the rectangle?
3
Factor
3x2 + 11x +10
(3x+5)(x+2)
(4 + 4i)(1 - 2i)
12 - 4i
Solve for x
4(x+2)2 - 46 = -18
x = -2 plus square root of 7
x = -2 minus square root of 7
Solve by completing the square
x2 - 6x - 40 = 0
x = -4
x = 10
The width of a rectangle is 1 units less than the length. The area of the rectangle is 56 square units. What is the length of the rectangle?