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What is the missing constant term in the perfect square that starts with x^2 - 20x

User Bdoshi
by
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2 Answers

6 votes

(a - b)² = a² - 2ab + b²

- 2ab = 20x

- ab = 10x } => b = - 10

a = x

(x - 10)² = x² - 20x + 100

User Aaron Small
by
8.4k points
5 votes

Answer:

100

Explanation:

To make a perfect square trinomial, you want to divide the use the following equation to find the missing constant:


((b)/(2) )^(2) when the quadratic is in standard form.

In this case, we would divide -20 by 2 and square it

-20/2 = -10

(-10)^2 = 100

User Adam Beleko
by
7.1k points

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