( ) ( ) 31. = 0 = 0 x x 34. + 4 − 21 = x2 x + − = 2 1 0 x2 x 3 3 0 f + 4 = 21 g x2 x + + = + 4 4 21 x2 x + 2 = 1 x2 x 4 3 3 ( + 2)2 = 25 x + 2 + 1 = 1 + x2 x + 2 = ± x 25 1 3 9 3 9 ⎛ ⎞2 1 4 + 2 = ±5 x = ⎜ + x 9 = −2 ± x ⎟ ⎝ ⎠ 5 4 = ± 2 = = −7 3 or x x + 1 = ± x The of 3 9 3 ( ) = + − −7 4 21 are and f x x2 x 1 2 3. =− ± −7 The of the graph of are and 3. 3 3 x-intercepts f x ) = 0 x 32. = 1 or = −1 x x − − 6 13 = 0 x2 x 3 − −1 2 1 are and 1 . x f − 6x + 9 = 13 + x2 ( ) 3 3 3 = The zeros of g x x2 ( 9 1 + −1 of the graph of are and . x-intercepts g ( − 3)2 = 22 x 3 − = ± 3 x ( ) = 0 F x 22 35. = 3 ± x 22 The zeros of ( ) = − − − 3x2 + − 1 = 0 6 13 are 3 f x x2 x x 2 22 and 3 + 22 . The of the graph of x-intercepts f + 1 − 1 = 0 x2 x − are 3 3 6 22 . 22 and 3 + + = 1 1 x2 x ) 33. = 0 3 6 1 1 1 1 ( g x + = + − − = 1 3 0 x2 x 3 36 6 36 2 16 + x2 2 x − 1 = 3 x2 x ⎛ + 1 ⎞ = 7 x
31. f ( x ) = 0 x2 + 4 x − 21 = 0 x2 + 4 x = 21 34. g ( x ) = 0 x2 + 2 x − 1 = 0 3 3 x2 + 4 x + 4 = 21 + 4 x2 + 2 x = 1 3 3 ( x + 2)2 = 25 x + 2 = ± 25 x2 + 2 x + 1 = 1 + 1 3 9 3 9 ⎛ 1 ⎞2 4 x + 2 = ±5 x = −2 ± 5 x = 3 or x = −7 ⎜ x + ⎟ ⎝ ⎠ x + 1 = ± = 9 4 = ± 2 The of f ( x ) = x2 + 4 x − 21 are −7 and 3. 3 9 3 1 2 =− ± The x-intercepts of the graph of f are −7 and 3. x 3 3 32. f ( x ) = 0 x2 − 6 x − 13 = 0 x2 − 6x + 9 = 13 + 9 x = 1 or x = −1 3 The zeros of g ( x ) = x2 + 2 x − 1 are −1 and 1 . 3 3 3 1 ( x − 3)2 = 22 x − 3 = ± 22 x = 3 ± 22 35. x-intercepts of the graph of g are −1 and . 3 F ( x ) = 0 The zeros of f ( x ) = x2 − 6 x − 13 are 3 − 22 3x2 + x − 1 = 0 2 and 3 + 22 . The x-intercepts of the graph of f x2 + 1 x − 1 = 0 are 3 − 22 and 3 + 22 . 3 6 x2 + 1 x = 1 33. g ( x ) = 0 3 6 1 1 1 1 x2 − 1 x − 3 = 0 2 16 x2 + x + = + 3 36 6 36 2 x2 − 1 x = 3 ⎛ x + 1 ⎞ = 7
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