Answer :
[tex]a^2+27a+72=0\\\\a^2+3a+24a+72=0\\\\a(a +3 )+24(a+3)=0\\\\(a+3)(a+24)=0\\\\a+3=0\ \ \vee \ \ a+24=0\\\\a=-3 \ \ \vee \ \ a=-24[/tex]
a² + 27a + 72 = 0
a = -27 +/- √(27² - 4(1)(72))
2(1)
a = -27 +/- √(729 - 288)
2
a = -27 +/- √441
2
a = -27+/- 21
2
a = -27 + 21 a = -27 - 21
2 2
a = -6 a = -48
2 2
a = -3 a = -24
a = -27 +/- √(27² - 4(1)(72))
2(1)
a = -27 +/- √(729 - 288)
2
a = -27 +/- √441
2
a = -27+/- 21
2
a = -27 + 21 a = -27 - 21
2 2
a = -6 a = -48
2 2
a = -3 a = -24