x = -3y = -14
The quadratic expression x2+6x+8 when factorised equals (x+2)(x+4)
If: x2-6x-13 = 14 Then: x2-6x-27 = 0 And: (x+3)(x-9) = 0 So: x = -3 or x = 9
The following equations are all equivalent to y = x2 - 6x + 14:y - 5 = (x - 3)22y = 2x2 - 12x + 28± √(y - 5) = x - 3y = [x4 - 4(3x3 + [4x]2 - 42x + 49)]1/2y - 5 = x2 - 6x + 92y - 5 = 2(x2 - 6x) + 23x = 3 ± √(y - 5)
one
x = -3y = -14
The quadratic expression x2+6x+8 when factorised equals (x+2)(x+4)
x2 + 6x + 9 = 81 x2 + 6x = 72 x2 + 6x - 72 = 0 (x+12)(x-6) = 0 x= -12, 6 (two solutions)
If: x2-6x-13 = 14 Then: x2-6x-27 = 0 And: (x+3)(x-9) = 0 So: x = -3 or x = 9
x2 + 6x + 12 = 0 x2 + 6x + 9 = -3 (x + 3)2 = -3 x + 3 = ± √-3 x = -3 ± i√3
The following equations are all equivalent to y = x2 - 6x + 14:y - 5 = (x - 3)22y = 2x2 - 12x + 28± √(y - 5) = x - 3y = [x4 - 4(3x3 + [4x]2 - 42x + 49)]1/2y - 5 = x2 - 6x + 92y - 5 = 2(x2 - 6x) + 23x = 3 ± √(y - 5)
one
(3, -21)
y ≥ 11
x2 + 6x - 2 = 0 x2 + 6x + 9 = 13 (x + 3)2 = 13 x + 3 = ± √13 x = -3 ± √13
y = x2 - 6x + 2 y = x2 - 6x + 9 - 7 y = (x - 3)2 - 7
A quadratic equation. If you wish to solve for x, you can do so as follows: -x2 + 6x + 7 = 0 x2 - 6x - 7 = 0 (x - 7)(x + 1) = 0 x ∈ {-1, 7}