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What constant do you need to add to each quadratic to complete the square?

1. x^2 - 4x = 0 16
2. x^2 - 8x = 6 4
3. 3x^2 + 18x = 24 9

2 Answers

1 vote

Answer:

3 x^2 + 18 x = 24 --> 9

x^2 - 8 x = 6 --> 16

x^2 - 4 x = 0 --> 4

Explanation:

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Proof.

What constant do you need to add to each quadratic to complete the square? 1. x^2 - 4x-example-1
User Roostaamir
by
9.2k points
1 vote

Answer:

1. 4

2. 16

3. 9

Explanation:

Completing the square requires a quadratic in
ax^2+bx=c form. Once in this form, calculate
((b)/(2))^2.

1.
((b)/(2))^2=((-4)/(2))^2=4

2.
((b)/(2))^2=((-8)/(2))^2=16

3. Requires you divide everything by 3 first.


(3x^2+18x)/(3) =(249)/(3) \\x^2+6x=81


((b)/(2))^2=((6)/(2))^2=9

User Garris
by
9.0k points

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