True because in both equations x = 0 or x = -4
(2x + 1)(2x + 1) or (2x + 1)2 so x = -0.5
B squared -4ac is the discriminant. you get 0, which means it will have one rational solution.
Using the discriminant for a quadratic equation the value of k works out as plus or minus 12.
many solutions
x = -½
True because in both equations x = 0 or x = -4
(2x + 1)(2x + 1) or (2x + 1)2 so x = -0.5
B squared -4ac is the discriminant. you get 0, which means it will have one rational solution.
Using the discriminant for a quadratic equation the value of k works out as plus or minus 12.
x2-10 = 4x+11 x2-4x-10-11 = 0 x2-4x-21 = 0 (x+3)(x-7) = 0 x = -3 and x = 7
12x2 + 8x = 0 4x(3x + 2) = 0 Two solutions: 1. x = 0 2. x = -2/3
many solutions
x + 4x = 05x = 0x = 0/5x = 0
x2 - 4x - 96 = 0 (x - 12)(x + 8) = 0 x = 12, -8 Check it. 144 - 48 - 96 = 0 64 + 32 - 96 = 0 It checks.
16x2 + 8x + 1 = 0 : This factorises to (4x + 1)(4x + 1) = 0 When 4x + 1 = 0 then 4x = -1 : x = -1/4.
4x+7=9x+7 -5x=0 x=0