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Math solve and explain question

Math solve and explain question-example-1

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Answer:

x² + 5x + ((1/2)(5))² =

x² + 5x + (5/2)² =

x² + 5x + 25/4 =

(x + 5/2)²

c = (5/2)² = 25/4

User Squaregoldfish
by
8.9k points
7 votes

Answer:

c = 25/4

Explanation:

To create a perfect square trinomial in the form of x^2 + 5x + c, we need to find the value of "c" that completes the square. The perfect square trinomial can be factored into a binomial squared.

To find the value of "c," we follow these steps:

Take half of the coefficient of the x-term (5x) and square it:

(1/2 * 5)^2 = (5/2)^2 = 25/4

The value of "c" needed to create a perfect square is the result from step 1:

c = 25/4

So, the value of "c" needed to create the perfect-square trinomial x^2 + 5x + c is 25/4.

User Kedar Kamthe
by
7.9k points

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