factor x2-14x+46 What two numbers multiply to give 46, and (since the 14 is negative) are 14 apart?
Well, 46 only factors into [1 2 23 46], so there are no integer answers.
This calls for the quadratic formula
(-b±√(b2-4ab))/2a
(14±√(196-184)/2
(14+√(12))/2 and (14-√(12))/2
(14+3.464)/2 and (14-3.464)/2
17.464/2 and 10.536/2
8.7321 and 5.2679 are both approximations of the answers. ■
(x2 + 14x + 49) = (x + 7)2
x2 + 14x + 48 = (x + 8)(x + 6)
-x2+14x=49
x2 - 14x + 45 = (x - 9)(x - 5)
x2+14x+40 = (x+4)(x+10) when factored
x2 - 14x + 49(x - 7) (x - 7)
x2 - 14x + 45 = (x - 5)(x - 9).
x2+14x+49 = (x+7)(x+7) when factored
x2 - 14x + 49 = (x - 7)2
51.07142857142857
doesnt make sense
49 x2 + 14x = -7 x2 + 14x + 49 = 42 (x + 7)2 = 42 x = -7 ± √42