Question

A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

A. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

B. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a

C. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a squared

D. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over a

Answer 1

Answer:

Option A.

Step-by-step explanation:

we have

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

Simplify the right side of the equation

we know that

$\pm\sqrt{\frac{b^2-4ac}{4a^2}}=\pm\frac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}=\pm\frac{\sqrt{b^2-4ac}}{2a}$

so

The expression is

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

therefore

x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

Answer 2

The answer should be A but look at the picture I attached that will help you get the right answer for this table.