MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
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Chapter 7 Section 4 Question 15 Page 392<br />
3 = m + 1 m<br />
3 m = m +1<br />
m 2 ! 7m +1 = 0<br />
9m = m 2 + 2m +1<br />
square both sides<br />
m = !(!7) ± (!7)2 ! 4(1)(1)<br />
2(1)<br />
m = 7 ± 45<br />
2<br />
m = 7 ± 3 5<br />
2<br />
substitute m = 7 + 3 5<br />
2<br />
m ! 1 m = 7 + 3 5<br />
2<br />
2<br />
!<br />
7 + 3 5<br />
(7 + 3 5)(7 + 3 5) 4<br />
= !<br />
2(7 + 3 5) 2(7 + 3 5)<br />
49 + 42 5 + 45! 4<br />
=<br />
2(7 + 3 5)<br />
90 + 42 5<br />
=<br />
2(7 + 3 5)<br />
45+ 21 5<br />
=<br />
7 + 3 5<br />
=<br />
=<br />
45+ 21 5<br />
7 + 3 5 " 7 ! 3 5<br />
7 ! 3 5<br />
315!135 5 +147 5 ! 315<br />
49 ! 45<br />
= <strong>12</strong> 5<br />
4<br />
= 3 5<br />
substitute m = 7 ! 3 5<br />
2<br />
m ! 1 m = 7 ! 3 5<br />
2<br />
2<br />
!<br />
7 ! 3 5<br />
(7 ! 3 5)(7 ! 3 5) ! 2(2)<br />
=<br />
2(7 ! 3 5)<br />
49 ! 42 5 + 45! 4<br />
=<br />
2(7 ! 3 5)<br />
90 ! 42 5<br />
=<br />
2(7 ! 3 5)<br />
=<br />
=<br />
45! 21 5<br />
7 ! 3 5 " 7 + 3 5<br />
7 + 3 5<br />
315!<strong>12</strong> 5 ! 315<br />
49 ! 45<br />
= !<strong>12</strong> 5<br />
4<br />
= !3 5<br />
m ! 1 m = ±3 5<br />
<strong>MHR</strong> <strong>•</strong> <strong>Advanced</strong> <strong>Functions</strong> <strong>12</strong> <strong>Solutions</strong> 719