Factoring
x^2 + 3x + 2 = 0
x = -2, x = -1
x^2 - 13x + 36 = 0
x = 4, x = 9
x^2 = 64
x = 8, x = -8
x^2 = 121
x = 11, x = -11
x^2 + x - 6 = 0
x = 2, x = -3
DAILY DOUBLE
16x^2 - 24x - 27 = 0
x = 9/4, x = -3/4
DAILY DOUBLE
4x^2 - 4x + 1 = 9
x = -1, x = 2
x^2 - 11x - 26 = 0
x = -2, x = 13
3x^2 = 27
x = 3, x = -3
x^2 - 81 = 0
x = 9, x = -9
2x^2 - 3x = -2
no solution
x^2 - 4x - 13 = 0
x = 2 + sqrt(17), x = 2 - sqrt(17)
DAILY DOUBLE
The length of a rectangle is three more than twice the width. Determine the dimensions that will give a total area of 27 m^2 .
w = 3 l =9
4(x-3)^2 = 100
x = 8, x = -2
3x^2 - 7x - 6 = 0
x = 3, x = -2/3
2x^2 + 3x = 27
x =3, x = -9/2
4x^2 + 4x - 15 = 0
x = 1.5 and -2.5
2x^2 - 3x = -2
x = No real solutions
x^2 -8n+ 16 = 36
You can factor the left side and solve like a square root equation or you can use a different method.
x = 10, x = -2
5x^2 + 14 x - 3 =0
x = -3, x = 1/5
6x^2 -13x =8
x = 8/3, -1/2
8x^2 + 14x = 3
x = [-7 + sqrt(73)]/8, x = [-7 - sqrt(73)]/8
7x^2 - x - 1 =0
x = (1 + sqrt(29) )/14, x = (1 - sqrt(29) )/14
x^2 + 18x + 81 = 98
You can factor the left side and solve like a square root equation or you can use a different method.
x = 7*sqrt(2) - 9, x = -7*sqrt(2) -9