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What value of c makes x2+6x+c a perfect square trinomial? 3,6,9,12

User Kosist
by
5.1k points

2 Answers

2 votes

Answer:

9

Step-by-step explanation.

x² + 6x + 9

= (x+3)(x+3)

= (x + 3)²

it is a perfect square trinomial when c is equal to 9

User Eugene Chow
by
4.8k points
3 votes

Answer: 9

Step-by-step explanation:

In order to make the expression a perfect square, ,we ate going to add to the expression the square of the half of the coefficient of 6.

x² + 6x + c

= x² + 6x + (6/2)²

= x² + 6x + 3²

= x² + 6x + 9

Therefore, 9 is the required solution that will.make the expression a perfect square.

User Christian Meyer
by
3.9k points