How do i complete the square x squared plus 10x minus 13 equals 17 how do you complete the square x squared plus 10x minus 13 equals 17?

X2 + 10X - 13 = 17

add 13 to each side

X2 + 10X = 30

halve the linear coefficient ( 10 ), square it and add it to both sides

X2 + 10X + 25 = 30 + 25

factor on the left and gather terms on the right

(X + 5)2 = 55

(X + 5)2 - 55 = 0

---------------------------vertex form, (- 5, - 55 ), is the vertex

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