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In the derivation of the quadratic formula by completing the square, the equation

- 4ac + b 2
4a?
is created by forming a
perfect square trinomial.
What is the result of applying the square root property of equality to this equation?

In the derivation of the quadratic formula by completing the square, the equation-example-1

2 Answers

7 votes

Answer:

B

Explanation:

User Lokoko
by
8.8k points
1 vote

Answer:

2nd option is the correct answer.

Explanation:


\because \bigg(x + (b)/(2a)\bigg) ^2 = (-4ac+b^2)/(4a^2)\\\\</p><p>\therefore \bigg(x + (b)/(2a)\bigg) ^2 = (b^2-4ac)/(4a^2)\\\\</p><p>\therefore \bigg(x + (b)/(2a)\bigg) = \pm \sqrt {(b^2-4ac)/(4a^2)} \\\\</p><p>\purple {\boxed {\bold {\therefore x + (b)/(2a)= (\pm√(b^2-4ac))/(2a)}}} \\\\

User Zkhr
by
8.2k points