## Mathematics

Question

If 9x² – 18x + k is a perfect square, find the value of k

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Secondary Schools
1 year
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## Answer ( 1 )

Solution

Using the formula b² = 4ac for perfect square

Where:

b = 18

a = 9

c = k

Then

b² = 4ac

18² = 4(9) x c

324 = 36c

Divide by 36 both sides

324/36 = 36c/36

c = 9

Therefore the value of k is 9