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What value of c makes x2 − 24x + c a perfect square trinomial?

−144
−48
48
144
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User Jimmi
by
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2 Answers

0 votes

Answer:

144

Explanation:

User Bill Chen
by
7.5k points
2 votes
x² - 24x + c

perfect square trinomial: a² + 2ab + c²
a² = x² ⇒ x * x
2ab = -24x ⇒ 2(-12)x
c² = (-12)² = 144

x² - 24x + 144

The value of c to create a perfect square trinomial is 144.
User Agathe
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7.8k points