Question

45 POINTS! NEED HELP QUESTION IS A IMAGE.

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


Statements Reasons
x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared Find a common denominator on the right side of the equation
x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation
the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Rewrite the perfect square trinomial on the left side of the equation as a binomial squared
? Take the square root of both sides of the equation
x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c end quantity, all over 4 times a squared
x plus b over 2 times a all squared equals plus or minus b squared minus 4 times a times c, all over 4 times a squared all squared
the square root of 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 squared
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 squared

Answer 1

Option 3

Explanation:

[x + b/2a]² = (b² - 4ac)/4a²

Taking square root both sides, you get this:

x + b/2a = +/- sqrt(b² - 4ac)/2a

Remember we're trying to make x the subject,

So does get rid of the square by applying square root both sides

Answer 2

Take the square root of each side

D (x+b/2a) =±sqrt( (b^2-4ac)/ 4a^2)

Explanation:

We have

(x+b/2a) ^2 = (b^2-4ac)/ 4a^2

We need to take the square root of each side to continue to isolate x

(x+b/2a) =±sqrt( (b^2-4ac)/ 4a^2)