MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
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c) x 2 + x !1 = 0<br />
x = !1± <strong>12</strong> ! 4(1)(–1)<br />
2(1)<br />
x = !1± 5<br />
2<br />
e) x 2 ! x ! 7 = 0<br />
x = !(!1) ± (!1)2 ! 4(1)(!7)<br />
2(1)<br />
x =<br />
1± 29<br />
2<br />
d) a = !2 ± 22 ! 4(2)(!10)<br />
2(2)<br />
a =<br />
a =<br />
a =<br />
a =<br />
!2 ± 84<br />
4<br />
!2 ± 21" 4<br />
4<br />
!2 ± 2 21<br />
4<br />
!1± 21<br />
2<br />
f) r 2 ! 5r + 3 = 0<br />
r = !(!5) ± (!5)2 ! 4(1)(3)<br />
2(1)<br />
r = 5 ± 13<br />
2<br />
g) m = !6 ± 62 ! 4(2)(3)<br />
2(2)<br />
m =<br />
!6 ± <strong>12</strong><br />
4<br />
m = !6 ± 4 " 3<br />
4<br />
m = !6 ± 2 3<br />
4<br />
m = !3± 3<br />
2<br />
h) 3a 2 ! 3a ! 4 = 0<br />
a = !(!3) ± (!3)2 ! 4(3)(!4)<br />
2(3)<br />
a =<br />
3± 57<br />
6<br />
<strong>MHR</strong> <strong>•</strong> <strong>Advanced</strong> <strong>Functions</strong> <strong>12</strong> <strong>Solutions</strong> 662