Question

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?

Answer 1

Answer:

2nd option is the correct answer.

Step-by-step explanation:

$\because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\

\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}}$

Answer 2

Answer:

B

Step-by-step explanation: