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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

1 Answer

1 vote

Answer:

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)

I hope thats right

User Pjmanning
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