Answer: -6 +/- [tex]\sqrt{41}[/tex] = x
Step-by-step explanation:
y = x² + 12x - 5
+5 +5
y + 5 = x² + 12x
+ 36 +36 added (12 ÷ 2)² to both sides
y + 41 = (x + 6)²
To find the zeros, let y = 0:
0 + 41 = (x + 6)²
[tex]\sqrt{41} = (\sqrt{x+6} )^{2}[/tex]
[tex]+/-\sqrt{41}[/tex] = x + 6
-6 -6
-6 +/- [tex]\sqrt{41}[/tex] = x