Andrewmonsod27idn
Answered

Maligayang pagdating sa IDNStudy.com, ang iyong platform para sa lahat ng iyong katanungan! Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.

solving quadratic equations by completing the square giuve example

Sagot :

SugoiOverloadidn
x² + 10x + 16 = 0

The pattern of a perfect square binomial is a² + 2ab + b². Thus, in this equation, a = x, 2ab = 10x.

2ab = 10x since a = x, dividing both sides with a would cancel them out
2b = 10
b =5

So, our last term must  be 5² or 25. But what we have is a 16. So, we must add 9 to both sides of the equation to get 25.

x² + 10x + 16 + 9 = 0 + 9
x² + 10x + 25 = 9
(x + 5)² = 9
x + 5 = +-3

x+5 = 3
x = -2

x+5 = -3
x = -8