8x2 - 2x - 15 = 0 factorises as (2x - 3)(4x + 5) ie x = 3/2 or -5/4 ( 1½ or -1¼) Check: 8 x 9/4 - 3 = 72/4 - 3 = 18 - 3 = 15 OK 8 x 25/16 - (-10/4) = 25/2 + 5/2 = 12.5 + 2.5 = 15 OK QED
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15 = 8x2 - 14x; whence, 8x2 - 14x - 15 = (2x - 5)(4x + 3) = 0. Therefore, x = 5/2 or -3/4.
8x2-2x-3=0 so we can factor this and we have: (4x-3)(2x+1)=0 So either (4x-3)=0 and x=3/4 or (2x+1)=0 and x=-1/2 The answers are 3/4 or .75 or -1/2 or -.5
Divide all terms by -2: 4x2+4x+1 = 0 (2x+1)(2x+1) = 0 x = -1/2 and also x = -1/2 The quadratic equation has 2 equal roots.
If -2x +14 = 0, -2x = -14, or x = 7.
2x - 4x + 3 = 0 -2x + 3 = 0 2x = 3 x = 3/2 = 1.5