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Complete the square 4x^2 + 15x + 2 .

 

Enter your answer in the form a(x + u)^2 + v, where a, u, and v are replaced by numbers.

 Aug 11, 2021
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Hi Guest,

 

Factor out the 4 in 4x^2 + 15x + 2

 

You should have: 

4(x^2 + 15x/4 + 1/2)

 

Next, add and subtract (15/8)^2

 

4(x^2+15x/4 + 1/2 + (15/8)^2 - (15/8)^2)

 

Finally, complete the square:

4((x + 15/8)^2) + 1/2 - (15/8)^2)

 

Answer is: 4(x + 15/8)^2 - 193/16

 

A = 4, U = 15/8, V = -193/16

 Aug 11, 2021
edited by Bulbous  Aug 11, 2021

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