Question

Which of the following statements describes one part of completing the square for x^2 + 4x = 32?

a. Take the square root of 36 and add 2.
b. Take the square root of 32 and subtract 2.
c. Take the square root of 36 and subtract 2.

Answer 1

`x^(2)+4x=32 \\ \\ x^(2)+4x+4=36 \\ \\ (x+2)^(2)=36 \\ \\ |x+2|=6 \\ \\ x+2=6 \ \vee \ x+2=-6 \\ \\ x=4 \ \vee \ x=-8`

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