Question

A portion of the Quadratic Formula proof is shown. Fill in the missing statement. x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

Answer 1

Answer:  $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Step-by-step explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.

Answer 2

Answer:

$\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

$\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}$

Subtract $\frac{b}{2a}$ from both sides.

$\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}$

$\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}$

$\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}$

This is a quadratic formula.