Respuesta :
[tex]\\ \bull\tt\looparrowright 4s^2+12s=-9[/tex]
[tex]\\ \bull\tt\looparrowright 4s^2+12s+9=0[/tex]
[tex]\\ \bull\tt\looparrowright 4s^2+6s+6s+9=0[/tex]
[tex]\\ \bull\tt\looparrowright 2s(2s+6)+3(2s+3)=0[/tex]
[tex]\\ \bull\tt\looparrowright (2s+6)(2s+3)=3[/tex]
[tex]\\ \bull\tt\looparrowright s=-2\:or\:s=\dfrac{-3}{2}[/tex]
Answer:
s = [tex]-\frac{3}{2}[/tex] or -1.5
Step-by-step explanation:
4s² + 12s = -9
→ Add 9 to both sides
4s² + 12s + 9 = 0
→ Find factors that times to 9 and add to 12
( 2s + 3 ) ( 2s + 3 ) = 0
→ Solve
s = [tex]-\frac{3}{2}[/tex] or 0.15
