Solve: k^2 – 4k – 45 = 0
k^2 – 4k – 45 = 0
(k – 9) (k + 5) = 0
k – 9 = 0
k = 9
k + 5 = 0
k = – 5
k = 9 and -5 —— answer
To check
(-5)^2 – 4(- 5) – 45 = 0
25 + 20 – 45 = 0
45 – 45 = 0
0 = 0 Therefore k = – 5 is true
(9)^2 – 4(9) – 45 = 0
81 – 36 – 45 = 0
81 – 81 = 0
0 = 0 therefore k = 9 is true
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