= = x = − 2 ± 20 = − 2 ± 2 5 = −1 ± 5 2(4) 8 = = not real ( ) 8 The function = 5x − 4x2 − 5 has no real F x 8 8 4 zeros, and the graph of has no F x-intercepts. The zeros of ( ) ( ) = 4 −1 + 2x are 49. = 0 f x x2 f x −1 − 5 and − 5 = 0 . The of the of x2 x-intercepts f −1 + 5 4 = 5 ⇒ = ± 5 x2 x are −1 − 5 4 The zeros of ( ) 5 and 5 . = − f x x2 and . −1 + 5 5 are − 4 5 and ) = 0 46. The of the of are − x-intercepts f − + 2 1 2 x2 x 5 . f = 0 ( ( ) = 2 + 2 − 1 0 f x x2 x 50. = x 0 = 2, a − 6 x2 = c = 0 = −1 2, b − 2 ± − 2 4 + = 6 ⇒ = ± 6 x2 x 22 − 4(2)(−1) ± 8 = = x 2(2) 4 ( ) 6 and 6 . = − f x x2 The zeros of − 6 are = − 2 ± 12 = − 2 ± 2 3 = −1 ± 6 and The of the of are − x-intercepts f 3 6 . 4 4 2
x = = 2(4) 8 = − 2 ± 20 = − 2 ± 2 5 = −1 ± 5 = = not real 8 The function ( ) F x = 5x − 4x2 − 5 has no real 8 8 4 zeros, and the graph of F has no x-intercepts. The zeros of f ( x ) = 4 x2 −1 + 2x are −1 − 5 49. f ( x ) = 0 and −1 + 5 . The x-intercepts of the of f 4 x2 − 5 = 0 x2 = 5 ⇒ x = ± 5 are −1 − 5 4 and −1 + 5 . 4 The zeros of f ( x ) = x2 − 5 are − 5 and 5 . 46. f ( x ) = 0 2 x2 − 1 + 2 x = 0 2 x2 + 2 x − 1 = 0 50. The x-intercepts of the of f are − 5 . f ( x ) = 0 5 and a = 2, b = 2, c = −1 x2 − 6 = 0 − 2 ± 22 − 4(2)(−1) − 2 ± 4 + 8 x2 = 6 ⇒ x = ± 6 x = = 2(2) 4 The zeros of f ( x ) = x2 − 6 are − 6 and 6 . = − 2 ± 12 = − 2 ± 2 3 = −1 ± 3 4 4 2 The x-intercepts of the of f are − 6 . 6 and
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