Question

Write x2 + 6x = 2 in vertex form. (Be sure to write your response in the form a(x-h)^2+k=0 with no spaces!)

Answer 1

${x}^{2} + 6x = 2$
${x}^{2} + 6x - 2 = 0$

$({x}^{2} + 6x + ( { \frac{6}{2} })^{2} - ({ \frac{6}{2} })^{2} ) - 2 = 0$
$({x}^{2} + 6x + ( {3 })^{2} - ( {9} ) )- 2 = 0$
$({x}^{2} + 6x + {3}^{2} ) - 9 - 2 = 0$
${(x + 3)}^{2} - 11 = 0$
a = 0
h = -3
k = -11