Answer:
x1 =-3+3[tex]\sqrt{2}[/tex] and x2=-3-3[tex]\sqrt{2\\}[/tex]
Step-by-step explanation:
x² + 6x-9 = 0
-6±[tex]\sqrt{6^{2}-4(1)(-9) }[/tex] / 2
-6±[tex]\sqrt{72}[/tex] /2
so
x1 = -6+[tex]\sqrt{72[/tex] /2
x1 =-3+3[tex]\sqrt{2}[/tex]
and
x2 = -6-[tex]\sqrt{72[/tex] /2
x2=-3-3 [tex]\sqrt{2\\}[/tex]