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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 Xa2b As A Result Of Completing The Square For The Following EquationAnswer2 class=

Sagot :

Step 1: Write out the equation

[tex]x^2-12x+32=4[/tex]

Step 2: Subtract 32 from both sides of the equation

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

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

That is

[tex]x^2-12x+(-6)^2=-28+(-6)^2[/tex]

This implies that

[tex](x-6)^2=-28+36=8[/tex]

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

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