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Mathematics
Mathematics
Problem
1. a Use technology to solve: i
2
x
2
−
12
x
+
11
=
1
2x^2 - 12x + 11 = 1
2
x
2
−
12
x
+
11
=
1
ii
2
x
2
−
12
x
+
11
=
−
7
2x^2 - 12x + 11 = -7
2
x
2
−
12
x
+
11
=
−
7
iii
2
x
2
−
12
x
+
11
=
−
10
2x^2 - 12x + 11 = -10
2
x
2
−
12
x
+
11
=
−
10
2. b For which values of
k
k
k
does the equation
2
x
2
−
12
x
+
11
=
k
2x^2 - 12x + 11 = k
2
x
2
−
12
x
+
11
=
k
have: i two real solutions ii one real solution iii no real solutions?
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