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what is the intermediate in the form (x+a)^2=b as a result of completing the square for the following equation?Answer:()^2=

what is the intermediate in the form (x+a)^2=b as a result of completing the square-example-1
User Troyal
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1 Answer

12 votes
12 votes

Step 1: Write out the equation


x^2-12x+32=4

Step 2: Subtract 32 from both sides of the equation


\begin{gathered} x^2-12x+32-32=4-32 \\ x^2-12x=-28 \end{gathered}

Step 3: Complete the square by adding 1/2 of the square of the coefficient of x to both sides

That is


x^2-12x+(-6)^2=-28+(-6)^2

This implies that


(x-6)^2=-28+36=8

Hence the intermediate step is (x - 6)² = 8

User HyperionX
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