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10. f ( x ) = 8 x 2 − 2 = 0
16. 5 x 2 + 7 x + 6 = 0
x = ±0.5 1 3
x=0 6
8
(7) − 4(5)(6) 2(5) 2
49 − 120 10
=
− 7 ± − 71 10
=
− 7 ± 71i 10
3x3 − 4 x 2 − 12 x + 16 = 0
17. −4
x ( 3x − 4 ) − 4 ( 3x − 4 ) = 0 2
(x
−2
12.
−7 ±
=
f ( x ) = x3 − 4 x2 + 5x = 0
b 2 − 4ac 2a
− ( 7) ±
=
−3
11.
−b ±
x =
−3
f ( x ) = x − x3 = 0
2
)
− 4 ( 3x − 4 ) = 0 x 2 − 4 = 0 x 2 = 4 = ±2
x = 0, ± 1
3x − 4 = 0 x =
4
−6
223
6
18.
4 3
x + 22 − 3x = 6 22 − 3x = 6 − x 22 − 3x = ( 6 − x )
−4
22 − 3x = 36 − 12 x + x 2
13. x 2 − 15 x + 56 = 0
(x
x 2 − 9 x + 14 = 0
− 7)( x − 8) = 0
( x − 2 )( x − 7 ) = 0
x −7 = 0 x = 7
x−2=0 x =2 x − 7 = 0 x = 7, extraneous
x −8 = 0 x = 8
14.
x2 + 12 x − 2 = 0 x=
− b ± b 2 − 4ac 2a
19.
15. 4 x − 81 = 0 2
4 x = 81 81 x2 = 4 9 x=± 2 2
2
+6
)
23
= 16
x + 6 = 163 2 = 64
−12 ± 12 − 4 ( −2 )
2 −12 + 152 = 2 = −6 ± 38
(x
2
2
=
2
x 2 = 58 x = ± 58 ≈ ±7.616 20.
8 x − 1 = 21 8 x − 1 = 21 or − ( 8 x − 1) = 21 8 x = 22 x=
−8 x = 20 x = − 52
11 4
21. 6 x − 1 > 3 x − 10 3x > − 9 x>−3
( − 3, ∞ ) x −4 −3 −2 −1
0
1
2
3
4
5
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Full file at https://testbankuniv.eu/College-Algebra-Real-Mathematics-Real-People-7th-Edition-Larson-Solutions-Manual