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Which statement describes the first step to solve the equation by completing the square?


4x^2+16x=20




Multiply both sides of the equation by 1/4 .


Add 8 to each side of the equation.


Multiply both sides of the equation by 1/8 .


Add 64 to each side of the equation.

Verified Answer :

nausie

Multiply both sides of the equation by 1/4, because in order to be able to complete the square the first coefficient must be 1. :)

calculista

Answer:

Multiply both sides of the equation by \(1/4\)

Step-by-step explanation:

we have

\(4x^{2} +16x=20\)

Step 1

Multiply both sides of the equation by \(1/4\)

\(x^{2} +4x=5\)

Step 2

Complete the square. Remember to balance the equation by adding the same constants to each side

\(x^{2} +4x+4=5+4\)

\(x^{2} +4x+4=9\)

Step 3

Rewrite as perfect squares

\((x+2)^{2}=9\)

Step 4

Square root both sides

\(x+2=(+/-)3\)

\(x=-2(+/-)3\)

\(x=-2+3=1\)

\(x=-2-3=-5\)

therefore

the answer is

Multiply both sides of the equation by \(1/4\)

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