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dusty
 one year ago
Best ResponseYou've already chosen the best response.1By factoring, we obtain: 2(x²  4x  6) = 0 Since the polynomial is unfactorable, we can apply quadratic formula x = (b ± √(b²  4ac))/2a, along with ax² + bx + c = 0, to obtain: a = 1 b = 4 c = 6 x = ((4) ± √((4)²  4*1*6))/(2*1) ==> (4 ± √(16 + 24))/2 ==> (4 ± √40)/2 ==> (4 ± √(10*4))/2 . . . . . . . . . . . . . . .Note that √4 = 2. ==> (4 ± 2√10)/2 . . . . . . . . . . . . . . . . Factor ==> 2(2 ± √10)/2 . . . . . . . . . . . . . . . . Reduce ==> 2 ± √10 Therefore, x = 2 ± √10
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