( ) 36. = 0 x 39. ( ) 2x2 − 3x −1 = = 0 g x 0 G − 4x −1 = 0 x2 − 3 − 1 = 0 x2 x = = − = −1 a b c 1, 4, 2 2 −(− 4) ± 16 + 4 − (− 4)2 4(1)(−1) 4 ± − 3 = 1 x2 x = = x 2 2 2(1) 2 − 3 + 9 = 1 + x2 x 9 = 4 ± 20 = 4 ± 2 5 = 2 ± 5 2 16 2 16 2 2 ( ) = − − − of 4x 1 are 2 g x x2 − x = The 17 5 and 3 ⎝ 4 ⎠ 16 2 + 5 . The of the graph of are x-intercepts g − = 3 x − + 2 5 and 2 5 . 17 = ± 17 ± 4 16 4 40. ( ) = 0 = 3 ± 17 g x x 4 + 6x + 1 = 0 x2 ( ) The zeros of = 2 − 3x −1 are G x x2 3 − = = 6, = 1 a b c and 17 1, 4 − 6 . The of the graph of are x-intercepts G 62 − = − 6 36 − 4 + 3 17 4 ± 4(1)(1) ± 2 = x 2(1) 3 − 17 and . 3 + 17 4 = − 6 ± 32 = − 6 ± 4 2 = −3 ± 2 2 4 2 2 37. ( ) = 0 f x ( ) The zeros of = + 6x + 1 are −3 − 2 2 g x x2 − 4x + 2 = x2 and −3 + 2 2 . The of the graph of x-intercepts 0 = a −3 − −3 + are 2 2 and 2 2 . − g 1, = = 2 b c 4, −(−4) ± (− 4)2 − 4(1)(2) 4 ± 16 − 41. ( ) = 0 F x 8 = = x − + = 2x2 5x 3 0 2(1) 2 = ± = ± = ± 4 8 4 2 2 2 = 2, = − 5, a b 2
36. G ( x ) = 0 2x2 − 3x −1 = 0 39. g ( x ) = 0 x2 − 4x −1 = 0 x2 − 3 x − 1 = 0 a = 1, b = − 4, c = −1 2 2 −(− 4) ± (− 4)2 − 4(1)(−1) 4 ± 16 + 4 x2 − 3 x = 1 2 2 x = = 2(1) 2 x2 − 3 x + 9 = 1 + 9 2 16 2 16 = 4 ± 20 = 4 ± 2 5 = 2 ± 5 2 2 x − 3 = 17 The of g ( x ) = x2 − 4x − 1 are 2 − 5 and ⎝ 4 ⎠ 16 2 + 5 . The x-intercepts of the graph of g are x − 3 = ± 17 = ± 17 2 − 5 and 2 + 5 . 4 16 4 x = 3 ± 17 4 40. g ( x ) = 0 x2 + 6x + 1 = 0 The zeros of G ( x ) = 2 x2 − 3x −1 are 3 − 17 and a = 1, b = 6, c = 1 4 3 + 17 . The x-intercepts of the graph of G are 4 − 6 ± x = 62 − 4(1)(1) 2(1) = − 6 ± 36 − 4 2 37. 3 − 17 4 and 3 + 17 . 4 f ( x ) = 0 = − 6 ± 32 = − 6 ± 4 2 = −3 ± 2 2 2 2 The zeros of g ( x ) = x2 + 6x + 1 are −3 − 2 2 x2 − 4x + 2 = 0 and −3 + 2 2 . The x-intercepts of the graph of a = 1, b = − 4, c = 2 g are −3 − 2 2 and −3 + 2 2 . −(−4) ± (− 4)2 − 4(1)(2) 4 ± 16 − 8 x = = 2(1) 2 41. F ( x ) = 0 2x2 − 5x + 3 = 0 = 4 ± 8 = 4 ± 2 2 = 2 ± 2 a = 2, b = − 5,
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